Link Theory in Manifolds, Uwe Kaiser

Автор: Dale Rolfsen
Название: Knot Theory and Manifolds
ISBN: 3540156801 ISBN-13(EAN): 9783540156802
Издательство: Springer
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Автор: HENKIN; LEITERER
Название: Theory of Functions on Complex Manifolds
ISBN: 3034865392 ISBN-13(EAN): 9783034865395
Издательство: Springer
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Автор: Mich?le Audin
Название: Torus Actions on Symplectic Manifolds
ISBN: 3034896379 ISBN-13(EAN): 9783034896375
Издательство: Springer
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Описание: The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces.

Автор: Burak Ozbagci; Andr?s Stipsicz
Название: Surgery on Contact 3-Manifolds and Stein Surfaces
ISBN: 3642061842 ISBN-13(EAN): 9783642061844
Издательство: Springer
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Описание: The groundbreaking results of the near past - Donaldson's result on Lef- schetz pencils on symplectic manifolds and Giroux's correspondence be- tween contact structures and open book decompositions - brought a top- ological flavor to global symplectic and contact geometry. This topological aspect is strengthened by the existing results of Weinstein and Eliashberg (and Gompf in dimension 4) on handle attachment in the symplectic and Stein category, and by Giroux's theory of convex surfaces, enabling us to perform surgeries on contact 3-manifolds. The main objective of these notes is to provide a self-contained introduction to the theory of surgeries one can perform on contact 3-manifolds and Stein surfaces. We will adopt a very topological point of view based on handlebody theory, in particular, on Kirby calculus for 3- and 4-dimensionalmanifolds. Surgery is a constructive method by its very nature. Applying it in an intricate way one can see what can be done. These results are nicely com- plemented by the results relying on gauge theory - a theory designed to prove that certain things cannot be done. We will freely apply recent results of gauge theory without a detailed introduction to these topics; we will be content with a short introduction to some forms of Seiberg-Witten theory and some discussions regarding Heegaard Floer theory in two Appendices.

Автор: Anatole Katok; Francois Ledrappier; Jean-Marie Str
Название: Invariant Manifolds, Entropy and Billiards. Smooth Maps with Singularities
ISBN: 3540171908 ISBN-13(EAN): 9783540171904
Издательство: Springer
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Автор: B. Shiffman; Sommese
Название: Vanishing Theorems on Complex Manifolds
ISBN: 148996682X ISBN-13(EAN): 9781489966827
Издательство: Springer
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Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 1461273072 ISBN-13(EAN): 9781461273073
Издательство: Springer
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Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.

Автор: Michel Emery
Название: Stochastic Calculus in Manifolds
ISBN: 3540516646 ISBN-13(EAN): 9783540516644
Издательство: Springer
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Описание: With an Appendix by P.A. Meyer