Auswahl der wissenschaftlichen Literatur zum Thema „DG-Manifolds“
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Zeitschriftenartikel zum Thema "DG-Manifolds"
Cheng, Jiahao, Zhuo Chen und Dadi Ni. „Hopf algebras arising from dg manifolds“. Journal of Algebra 584 (Oktober 2021): 19–68. http://dx.doi.org/10.1016/j.jalgebra.2021.05.004.
Der volle Inhalt der QuelleCiocan-Fontanine, Ionuţ, und Mikhail Kapranov. „Virtual fundamental classes via dg–manifolds“. Geometry & Topology 13, Nr. 3 (16.03.2009): 1779–804. http://dx.doi.org/10.2140/gt.2009.13.1779.
Der volle Inhalt der QuelleStiénon, Mathieu, und Ping Xu. „Fedosov dg manifolds associated with Lie pairs“. Mathematische Annalen 378, Nr. 1-2 (26.07.2020): 729–62. http://dx.doi.org/10.1007/s00208-020-02012-6.
Der volle Inhalt der QuelleLaurent-Gengoux, Camille, Mathieu Stiénon und Ping Xu. „Poincaré–Birkhoff–Witt isomorphisms and Kapranov dg-manifolds“. Advances in Mathematics 387 (August 2021): 107792. http://dx.doi.org/10.1016/j.aim.2021.107792.
Der volle Inhalt der QuelleSeol, Seokbong, Mathieu Stiénon und Ping Xu. „Dg Manifolds, Formal Exponential Maps and Homotopy Lie Algebras“. Communications in Mathematical Physics 391, Nr. 1 (24.02.2022): 33–76. http://dx.doi.org/10.1007/s00220-021-04265-x.
Der volle Inhalt der QuelleUribe, Bernardo. „Group Actions on DG-Manifolds and Exact Courant Algebroids“. Communications in Mathematical Physics 318, Nr. 1 (23.01.2013): 35–67. http://dx.doi.org/10.1007/s00220-013-1669-2.
Der volle Inhalt der QuelleBernardara, Marcello, Matilde Marcolli und Gonçalo Tabuada. „Some remarks concerning Voevodsky’s nilpotence conjecture“. Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, Nr. 738 (01.05.2018): 299–312. http://dx.doi.org/10.1515/crelle-2015-0068.
Der volle Inhalt der QuelleLupercio, Ernesto, Camilo Rengifo und Bernardo Uribe. „T-duality and exceptional generalized geometry through symmetries of dg-manifolds“. Journal of Geometry and Physics 83 (September 2014): 82–98. http://dx.doi.org/10.1016/j.geomphys.2014.05.012.
Der volle Inhalt der QuelleGRIBACHEVA, DOBRINKA. „A NATURAL CONNECTION ON A BASIC CLASS OF RIEMANNIAN PRODUCT MANIFOLDS“. International Journal of Geometric Methods in Modern Physics 09, Nr. 07 (07.09.2012): 1250057. http://dx.doi.org/10.1142/s0219887812500570.
Der volle Inhalt der QuellePridham, J. P. „Representability of derived stacks“. Journal of K-Theory 10, Nr. 2 (31.01.2012): 413–53. http://dx.doi.org/10.1017/is012001005jkt179.
Der volle Inhalt der QuelleDissertationen zum Thema "DG-Manifolds"
Louis, Ruben. „Les algèbres supérieures universelles des espaces singuliers et leurs symétries“. Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0165.
Der volle Inhalt der QuelleThis thesis breaks into two main parts.1) We show that there is an equivalence of categories between Lie-Rinehart algebras over a commutative algebra O and homotopy equivalence classes of negatively graded acyclic Lie infinity-algebroids. Therefore, this result makes sense of the universal Lie infinity-algebroid of every singular foliation,without any additional assumption, and for Androulidakis-Zambon singular Lie algebroids. This extends to a purely algebraic setting the construction of the universal Q-manifold of a locally real analytic singular foliation. Also, to any ideal I of O preserved by the anchor map of a Lie-Rinehart algebra A, we associate a homotopy equivalence class of negatively graded Lie infinity-algebroids over complexes computing Tor_O(A,O/I). Several explicit examples are given.2) The second part is dedicated to some applications of the results on Lie-Rinehart algebras.a. We associate to any affine variety a universal Lie infinity-algebroid of the Lie-Rinehart algebra of its vector fields. We study the effect of some common operations on affine varieties such as blow-ups, germs at a point, etc.b. We give an interpretation of the blow-up of a singular foliation F in the sense of Omar Mohsen in term of the universal Lie infinity-algebroid of F.c. We introduce the notion of longitudinal vector fields on a graded manifold over a singular foliation, and study their cohomology. We prove that the cohomology groups of the latter vanish.d. We study symmetries of singular foliations through universal Lie infinity-algebroids. More precisely, we prove that a weak symmetry action of a Lie algebra g on a singular foliation F (which is morally an action of g on the leaf space M/F) induces a unique up to homotopy Lie infinity-morphism from g to the Differential Graded Lie Algebra (DGLA) of vector fields on a universal Lie infinity-algebroid of F. We deduce from this general result several geometrical consequences. For instance, we give an example of a Lie algebra action on an affine sub-variety which cannot be extended on the ambient space. Last, we present the notion of tower of bi-submersions over a singular foliation and lift symmetries to those