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Books on the topic 'Cocycles'

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1

Bhat, B. V. Rajarama. Cocycles of CCR flows. Providence, R.I: American Mathematical Society, 2001.

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2

Duarte, Pedro, and Silvius Klein. Lyapunov Exponents of Linear Cocycles. Paris: Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-124-6.

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3

Avila, Artur. Cocycles over partially hyperbolic maps. Paris: Société mathématique de France, 2013.

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4

Walkden, Charles Peter. Cocycles in hyperbolic dynamics: Livsic regularity theorems and applications to stable ergodicity. [s.l.]: typescript, 1997.

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5

Kloeden, Peter E. Nonautonomous dynamical systems. Providence, R.I: American Mathematical Society, 2011.

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6

Koli︠a︡da, S. F. Dynamics and numbers: A special program, June 1-July 31, 2014, Max Planck Institute for Mathematics, Bonn, Germany : international conference, July 21-25, 2014, Max Planck Institute for Mathematics, Bonn, Germany. Edited by Max-Planck-Institut für Mathematik. Providence, Rhode Island: American Mathematical Society, 2016.

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7

One-Cocycles and Knot Invariants. World Scientific Publishing Co Pte Ltd, 2022.

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8

One-Cocycles and Knot Invariants. World Scientific Publishing Co Pte Ltd, 2022.

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9

Fiedler, Thomas. Polynomial One-Cocycles for Knots and Closed Braids. World Scientific Publishing Co Pte Ltd, 2019.

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10

Zoller, D. Cocycles, the descent equations, and the Virasoro algebra. 1990.

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11

Duarte, Pedro, and Silvius Klein. Lyapunov Exponents of Linear Cocycles: Continuity Via Large Deviations. Atlantis Press (Zeger Karssen), 2016.

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12

Duarte, Pedro, and Silvius Klein. Lyapunov Exponents of Linear Cocycles: Continuity Via Large Deviations. Atlantis Press (Zeger Karssen), 2016.

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13

Karaliolios, Nikolaos. Global Aspects of the Reducibility of Quasiperiodic Cocycles in Semisimple Compact Lie Groups. Societe Mathematique De France, 2016.

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14

Farb, Benson, and Dan Margalit. Presentations and Low-dimensional Homology. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0006.

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This chapter presents explicit computations of the first and second homology groups of the mapping class group. It begins with a simple proof, due to Harer, of the theorem of Mumford, Birman, and Powell; the proof includes the lantern relation, a relation in Mod(S) between seven Dehn twists. It then applies a method from geometric group theory to prove the theorem that Mod(Sɡ) is finitely presentable. It also provides explicit presentations of Mod(Sɡ), including the Wajnryb presentation and the Gervais presentation, and gives a detailed construction of the Euler class, the most basic invariant for surface bundles, as a 2-cocycle for the mapping class group of a punctured surface. The chapter concludes by explaining the Meyer signature cocycle and the important connection of this circle of ideas with the theory of Sɡ-bundles.
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15

Nitica, Viorel, and Anatole Katok. Rigidity in Higher Rank Abelian Group Actions: Introduction and Cocycle Problem. Cambridge University Press, 2011.

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16

Katok, Anatole, and Viorel Niţică. Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem. Cambridge University Press, 2011.

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17

Viorel Niţică and Anatole Katok. Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem. Cambridge University Press, 2011.

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18

Viorel Niţică and Anatole Katok. Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem. Cambridge University Press, 2011.

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19

Geometric Set Theory. American Mathematical Society, 2020.

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20

Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby. American Mathematical Society, 2017.

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