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Journal articles on the topic 'Isotopies'

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Author: Grafiati

Published: 11 March 2023

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1

FIEDLER, T., and V. KURLIN. "FIBER QUADRISECANTS IN KNOT ISOTOPIES." Journal of Knot Theory and Its Ramifications 17, no. 11 (November 2008): 1415–28. http://dx.doi.org/10.1142/s0218216508006695.

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Fix a straight line L in Euclidean 3-space and consider the fibration of the complement of L by half-planes. A generic knot K in the complement of L has neither fiber quadrisecants nor fiber extreme secants such that K touches the corresponding half-plane at 2 points. Both types of secants occur in generic isotopies of knots. We give lower bounds for the number of these fiber secants in all isotopies connecting given isotopic knots. The bounds are expressed in terms of invariants calculable in linear time with respect to the number of crossings.

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2

Ellis, David. "Remarks on isotopies." Publicationes Mathematicae Debrecen 2, no. 3-4 (July 1, 2022): 175–77. http://dx.doi.org/10.5486/pmd.1952.2.3-4.04.

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3

Perron, B. "Pseudo-isotopies et isotopies en dimension quatre dans la categorie topologique." Topology 25, no. 4 (1986): 381–97. http://dx.doi.org/10.1016/0040-9383(86)90018-2.

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4

Kalliongis, John, and Darryl McCullough. "Isotopies of 3-manifolds." Topology and its Applications 71, no. 3 (July 1996): 227–63. http://dx.doi.org/10.1016/0166-8641(96)00006-5.

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5

Opshtein, Emmanuel. "Polarizations and symplectic isotopies." Journal of Symplectic Geometry 11, no. 1 (2013): 109–33. http://dx.doi.org/10.4310/jsg.2013.v11.n1.a6.

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6

Lashof, R. "Equivariant isotopies and submersions." Illinois Journal of Mathematics 29, no. 1 (March 1985): 11–24. http://dx.doi.org/10.1215/ijm/1256045838.

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7

ZIMMERMANN, B. "ISOTOPIES OFHAKEN-3-ORBIFOLDS." Quarterly Journal of Mathematics 40, no. 3 (1989): 371–76. http://dx.doi.org/10.1093/qmath/40.3.371.

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8

Wołowska, Katarzyna. "Les réseaux isotopiques //centrifuge// et //centripète// dans Le dehors et le dedans de Nicolas Bouvier à la lumière de la sémantique interprétative textuelle." Moderna Språk 116, no. 2 (December 28, 2022): 183–200. http://dx.doi.org/10.58221/mosp.v116i2.12250.

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L’objectif de l’article, situé dans la perspective théorique de la sémantique interprétative française, est d’analyser les réseaux isotopiques dominants dans le recueil de poèmes de Nicolas Bouvier, écrivain, photographe et voyageur suisse. Le texte se compose de deux volets, Le dehors (poèmes de voyage) et Le dedans (poèmes subjectifs), et, comme cette division de sa structure se révèle sémantiquement pertinente, elle est prise en compte dans l’analyse. Celle-ci, centrée sur l’identification et la description d’isotopies sémantiques qui s’affirment dans l’interprétation, admet ainsi plusieurs paliers de généralité : microtextuel (chaque poème considéré comme une unité de sens interprétable à part), intratextuel (celui de chacune des deux parties du volume envisagée séparément), macrotextuel (totalité du recueil) et intertextuel (interne et externe). L’analyse privilégie les niveaux intratextuel et macrotextuel où s’attestent les isotopies les plus importantes, à portée globale, dont les deux principales, à statut de macro-isotopie, sont celles de //centrifuge// et de //centripète//. Les deux forment respectivement des réseaux isotopiques fondés sur la récurrence de sèmes isotopants connexes (comme /voyage/, /extérieur/, /exotique/, /étranger/, /inconnu/ etc. pour //centrifuge// et /intérieur/, /subjectif/, intime/, /émotion/ etc. pour //centripète//) qui se complètent et entrent dans différentes interrelations sur le plan macrotextuel.

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9

Oversteegen, Lex, and Edward Tymchatyn. "Extending isotopies of planar continua." Annals of Mathematics 172, no. 3 (October 5, 2010): 2105–33. http://dx.doi.org/10.4007/annals.2010.172.2105.

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10

Gardiner, Frederick P., Yunping Jiang, and Zhe Wang. "Guiding isotopies and holomorphic motions." Annales Academiae Scientiarum Fennicae Mathematica 40 (January 2015): 485–501. http://dx.doi.org/10.5186/aasfm.2015.4031.

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11

Kwasik, Sławomir, and Reinhard Schultz. "Pseudo-isotopies of 3-manifolds." Topology 35, no. 2 (April 1996): 363–76. http://dx.doi.org/10.1016/0040-9383(95)00017-8.

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12

Gerzymisch-Arbogast, Heidrun. "On the Translatability of Isotopies." FORUM / Revue internationale d’interprétation et de traduction / International Journal of Interpretation and Translation 2, no. 2 (October 1, 2004): 177–97. http://dx.doi.org/10.1075/forum.2.2.10ger.

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13

Zhubr, A. V. "On smoothing embeddings and isotopies." Mathematical Notes 99, no. 5-6 (May 2016): 946–47. http://dx.doi.org/10.1134/s0001434616050369.

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14

Bruce, J. W., and P. J. Giblin. "Generic isotopies of space curves." Glasgow Mathematical Journal 29, no. 1 (January 1987): 41–63. http://dx.doi.org/10.1017/s0017089500006650.

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For a single space curve (that is, a smooth curve embedded in ℝ3) much geometrical information is contained in the dual and the focal set of the curve. These are both (singular) surfaces in ℝ3, the dual being a model of the set of all tangent planes to the curve, and the focal set being the locus of centres of spheres having at least 3-point contact with the curve. The local structures of the dual and the focal set are (for a generic curve) determined by viewing them as (respectively) the discriminant of a family derived from the height functions on the curve, and the bifurcation set of the family of distance-squared functions on the curve. For details of this see for example [6, pp. 123–8].

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15

Entov, Michael, Yaniv Ganor, and Cedric Membrez. "Lagrangian isotopies and symplectic function theory." Commentarii Mathematici Helvetici 93, no. 4 (November 20, 2018): 829–82. http://dx.doi.org/10.4171/cmh/451.

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16

Kiralis, Jeff. "Pseudo-Isotopies of Irreducible 3-Manifolds." Transactions of the American Mathematical Society 332, no. 1 (July 1992): 53. http://dx.doi.org/10.2307/2154021.

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17

Kiralis, Jeff. "Pseudo-isotopies of irreducible $3$-manifolds." Transactions of the American Mathematical Society 332, no. 1 (January 1, 1992): 53–78. http://dx.doi.org/10.1090/s0002-9947-1992-1140917-6.

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18

Charitos, Charalampos, Ioannis Papadoperakis, and Georgios Tsapogas. "Incompressible surfaces in handlebodies and isotopies." Topology and its Applications 155, no. 7 (March 2008): 696–724. http://dx.doi.org/10.1016/j.topol.2007.12.004.

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19

Audoux, Benjamin. "Khovanov homology and star-like isotopies." Topology and its Applications 156, no. 6 (March 2009): 1054–70. http://dx.doi.org/10.1016/j.topol.2008.03.027.

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20

Colin de Verdière, Éric, Michel Pocchiola, and Gert Vegter. "Tutte's barycenter method applied to isotopies." Computational Geometry 26, no. 1 (August 2003): 81–97. http://dx.doi.org/10.1016/s0925-7721(02)00174-8.

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21

Laudenbach, F. "Hamiltonian isotopies in R2n+: Negative results." Topology and its Applications 31, no. 1 (February 1989): 29–45. http://dx.doi.org/10.1016/0166-8641(89)90096-5.

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22

Banyaga, Augustin, and Christopher Saunders. "Floer homology for almost Hamiltonian isotopies." Comptes Rendus Mathematique 342, no. 6 (March 2006): 417–20. http://dx.doi.org/10.1016/j.crma.2006.01.001.

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23

Chantraine, Baptiste, Vincent Colin, and Georgios Dimitroglou Rizell. "Positive Legendrian isotopies and Floer theory." Annales de l'Institut Fourier 69, no. 4 (2019): 1679–737. http://dx.doi.org/10.5802/aif.3279.

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24

Hoehn, L. C., L. G. Oversteegen, and E. D. Tymchatyn. "Extension of isotopies in the plane." Transactions of the American Mathematical Society 372, no. 7 (June 17, 2019): 4889–915. http://dx.doi.org/10.1090/tran/7820.

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25

Schneider, Gregory R. "Foliated compressing discs for Legendrian rational tangles." Journal of Knot Theory and Its Ramifications 25, no. 06 (May 2016): 1650029. http://dx.doi.org/10.1142/s0218216516500292.

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We establish a new framework for diagramming both Legendrian rational tangles in the standard contact structure on [Formula: see text] and the signed characteristic foliations of their associated compressing discs, as well as the technical means by which these diagrams can be used to study Legendrian isotopies of such tangles. We then establish a number of results that represent new progress in the ongoing effort to classify Legendrian rational tangles under a pair of operations known as Legendrian flypes. These operations, while topologically isotopies, are known to produce distinct Legendrian objects in many circumstances, a fact that has been of much interest throughout the study and classification of Legendrian knots.

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26

Semujanga, Josias. "La réception immédiate des Demi-civilisés de J.-C. Harvey. Éléments de sociosémiotique du discours critique." La réception littéraire 27, no. 2 (April 12, 2005): 23–33. http://dx.doi.org/10.7202/030556ar.

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Cet article propose, à partir de la réception immédiate des Demi-civilisés, la construction d’un algorithme narratif et discursif pour le discours critique. De nature sociosémiotique, celui-ci s’articule autour de deux isotopies fondamentales et solidaires. Liée aux figures à connotation littéraire (genres, motifs, thèmes, formes, etc.), l’isotopie littéraire a pour fonction de rattacher le discours critique à un lieu appelé « littérature ». Elle est également liée à l’isotopie référentialiste et idéologique qui articule le discours critique à un ancrage historique et géographique. Ces deux isotopies fonctionnent comme des indices qui opposent la critique littéraire à d’autres types de critique (historique, sociologique) et construisent en synchronie la notion de valeur esthétique des textes pour une société et une époque données.

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27

Béguin, François, Sylvain Crovisier, and Frédéric Le Roux. "Fixed point sets of isotopies on surfaces." Journal of the European Mathematical Society 22, no. 6 (March 19, 2020): 1971–2046. http://dx.doi.org/10.4171/jems/960.

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28

Kwasik, Slawomir. "Low-dimensional concordances, Whitney towers and isotopies." Mathematical Proceedings of the Cambridge Philosophical Society 102, no. 01 (July 1987): 103. http://dx.doi.org/10.1017/s0305004100067098.

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29

Shchukin, K. K. "On isotopies, parastrophies, and orthogonality of quasigroups." Journal of Mathematical Sciences 193, no. 4 (August 11, 2013): 639–44. http://dx.doi.org/10.1007/s10958-013-1491-6.

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30

Fuller, Terry. "On fiber-preserving isotopies of surface homeomorphisms." Proceedings of the American Mathematical Society 129, no. 4 (October 11, 2000): 1247–54. http://dx.doi.org/10.1090/s0002-9939-00-05642-2.

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31

Hind, R. "Symplectic isotopies in dimension greater than four." Journal of Symplectic Geometry 14, no. 4 (2016): 1033–57. http://dx.doi.org/10.4310/jsg.2016.v14.n4.a3.

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32

VIÑA, ANDRÉS. "LIFTING HAMILTONIAN LOOPS TO ISOTOPIES IN FIBRATIONS." International Journal of Geometric Methods in Modern Physics 10, no. 10 (October 8, 2013): 1350057. http://dx.doi.org/10.1142/s0219887813500576.

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Let G be a Lie group, H a closed subgroup and M the homogeneous space G/H. Each representation Ψ of H determines a G-equivariant principal bundle [Formula: see text] on M endowed with a G-invariant connection. We consider subgroups [Formula: see text] of the diffeomorphism group Diff (M), such that, each vector field [Formula: see text] admits a lift to a preserving connection vector field on [Formula: see text]. We prove that [Formula: see text]. This relation is applicable to subgroups [Formula: see text] of the Hamiltonian groups of the flag varieties of a semisimple group G. Let MΔ be the toric manifold determined by the Delzant polytope Δ. We put φb for the loop in the Hamiltonian group of MΔ defined by the lattice vector b. We give a sufficient condition, in terms of the mass center of Δ, for the loops φb and [Formula: see text] to be homotopically inequivalent.

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33

Cantwell, John, and Lawrence Conlon. "Isotopies of Foliated 3-Manifolds without Holonomy." Advances in Mathematics 144, no. 1 (June 1999): 13–49. http://dx.doi.org/10.1006/aima.1998.1811.

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34

Geiges, Hansjörg. "Isotopies vis-à-vis level-preserving embeddings." Archiv der Mathematik 110, no. 2 (October 30, 2017): 197–200. http://dx.doi.org/10.1007/s00013-017-1109-1.

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35

Navarro, María Belén. "Una poética de las ruinas: el viaje en busca de la España medieval de Frédéric Ozanam." Çédille, no. 18 (2020): 593–621. http://dx.doi.org/10.25145/j.cedille.2020.18.24.

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In Un pèlerinage au pays du Cid, Fréderic Ozanam depicts his journey of 1852 through Spanish lands. It records both his personal experience and the reconstruction of different discourses which intervened as well, such as historical, literary and legendary references, especially those linked to the Middle Age and perceived according to the ro-mantic conception of the time. The aim of this paper is not only to establish its categorisa-tion within the travel speeches by analyzing its textual configuration, but also to study its most striking aspects: the isotopies and intertexts. This approach will enable the recon-struction of the author's cultural imaginary, his horizon of expectations, the function of the isotopies and intertexts in the discursive framework as well as the overall purpose of the book.

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36

Dupont, Benjamin. "Rewriting modulo isotopies in pivotal linear (2,2)-categories." Journal of Algebra 601 (July 2022): 1–53. http://dx.doi.org/10.1016/j.jalgebra.2022.02.006.

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37

Birman, Joan, and Hugh Hilden. "Erratum to `Isotopies of homeomorphisms of Riemann surfaces'." Annals of Mathematics 185, no. 1 (January 1, 2017): 345. http://dx.doi.org/10.4007/annals.2017.185.1.9.

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38

Hughes, C. Bruce. "Delooping controlled pseudo-isotopies of Hilbert cube manifolds." Topology and its Applications 26, no. 2 (July 1987): 175–91. http://dx.doi.org/10.1016/0166-8641(87)90067-8.

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39

Nabutovsky, Alexander. "Smoothing of real algebraic hypersurfaces by rigid isotopies." Annales de l’institut Fourier 41, no. 1 (1991): 11–25. http://dx.doi.org/10.5802/aif.1246.

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40

Dahinden, Lucas. "The Bott–Samelson theorem for positive Legendrian isotopies." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 88, no. 1 (May 18, 2017): 87–96. http://dx.doi.org/10.1007/s12188-017-0180-7.

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41

Hind, Richard, and Alexander Ivrii. "Ruled 4-manifolds and isotopies of symplectic surfaces." Mathematische Zeitschrift 265, no. 3 (May 8, 2009): 639–52. http://dx.doi.org/10.1007/s00209-009-0534-7.

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42

Musich, О., A. Zubko, and О. Demyanуuk. "Isotopic effect of macro- and microelements in ecosystems." Balanced nature using, no. 4 (August 18, 2020): 132–38. http://dx.doi.org/10.33730/2310-4678.4.2020.226644.

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Isotopic effects occurring in living organisms due to metabolism are analyzed. The phenomenon of metabolism is considered in the classical sense as a combination of biochemical reactions (mainly enzymatic) that take place in the cells of living beings and provide the cleavage, synthesis and interconversion of complex compounds. The scope of use of natural isotopes is wide and diverse. Isotopes are carriers of information about the birth and transformation of molecules, and isotope fractionation is a chemical characteristic of a substance. Isotope metabolism consists in the intermolecular fractionation of isotopes at separate stages of biochemical reactions, namely the cleavage, synthesis and interconversion of complex compounds caused by differences in the structure and fundamental properties of isotope nuclei. It is proved that the fractionation of isotopes in chemical and biochemical reactions due to isotopic effects is based on two fundamental properties of atomic nuclei — mass and magnetic moment. The kinetic (mass-depen dent) isotopic effect distributes the isotopic nuclei by their masses, and the magnetic one fractionates the nuclei by their magnetic moments. The kinetic isotopic effect depends on the magnitude of the difference in the masses of isotopic molecules, temperature and the difference in the activation energies of isotopic forms. The magnetic isotope effect depends on the reaction rate in a single cell, its projection, magnetic moment and energy of electron-nuclear interaction. It is determined that the fractionation of isotopes in living organisms is that the relative content of one of the isotopes in this compound increases by reducing its content in the other. As a result, there is a fractionation of isotopes within one biological object.

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43

Funakoshi, Yukari, Megumi Hashizume, Noboru Ito, Tsuyoshi Kobayashi, and Hiroko Murai. "A distance on the equivalence classes of spherical curves generated by deformations of type RI." Journal of Knot Theory and Its Ramifications 27, no. 12 (October 2018): 1850066. http://dx.doi.org/10.1142/s0218216518500669.

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In this paper, we introduce a distance [Formula: see text] on the equivalence classes of spherical curves under deformations of type RI and ambient isotopies. We obtain an inequality that estimate its lower bound (Theorem 1). In Theorem 2, we show that if for a pair of spherical curves [Formula: see text] and [Formula: see text], [Formula: see text] and [Formula: see text] and [Formula: see text] satisfy a certain technical condition, then [Formula: see text] is obtained from [Formula: see text] by a single weak RIII only. In Theorem 3, we show that if [Formula: see text] and [Formula: see text] satisfy other conditions, then [Formula: see text] is ambient isotopic to a spherical curve that is obtained from [Formula: see text] by a sequence of a particular local deformations, which realizes [Formula: see text].

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44

NIKKUNI, RYO. "EDGE-HOMOTOPY CLASSIFICATION OF SPATIAL COMPLETE GRAPHS ON FOUR VERTICES." Journal of Knot Theory and Its Ramifications 13, no. 06 (September 2004): 763–77. http://dx.doi.org/10.1142/s0218216504003433.

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Two spatial embeddings of a graph are said to be edge-homotopic if they are transformed into each other by self-crossing changes and ambient isotopies. We show that two spatial embeddings of the complete graph on four vertices are edge-homotopic if and only if they have the same α-invariant.

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45

Théret, David. "Rotation numbers of Hamiltonian isotopies in complex projective spaces." Duke Mathematical Journal 94, no. 1 (July 1998): 13–27. http://dx.doi.org/10.1215/s0012-7094-98-09402-9.

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46

Bushueva, N. A. "On Isotopies and Homologies of Subvarieties of Toric Varieties." Siberian Mathematical Journal 51, no. 5 (September 2010): 776–88. http://dx.doi.org/10.1007/s11202-010-0078-4.

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47

Ekholm, Tobias, and Tamás Kálmán. "Isotopies of Legendrian 1-knots and Legendrian 2-tori." Journal of Symplectic Geometry 6, no. 4 (2008): 407–60. http://dx.doi.org/10.4310/jsg.2008.v6.n4.a3.

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48

Seyfaddini, Sobhan. "A note on $C^0$ rigidity of Hamiltonian isotopies." Journal of Symplectic Geometry 11, no. 3 (2013): 489–96. http://dx.doi.org/10.4310/jsg.2013.v11.n3.a8.

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49

ZIMMERMANN, B. "ISOTOPIES OF SEIFERT FIBERED, HYPERBOLIC AND EUCLIDEAN 3-ORBIFOLDS." Quarterly Journal of Mathematics 40, no. 3 (1989): 361–69. http://dx.doi.org/10.1093/qmath/40.3.361.

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50

Carter, J. Scott, Joachim H. Rieger, and Masahico Saito. "A Combinatorial Description of Knotted Surfaces and Their Isotopies." Advances in Mathematics 127, no. 1 (April 1997): 1–51. http://dx.doi.org/10.1006/aima.1997.1618.

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