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NON-CONTRACTIBLE PERIODIC TRAJECTORIES OF SYMPLECTIC VECTOR FIELDS FLOER COHOMOLOGY AND SYMPLECTIC TORSION Dan Burghelea and Stefan Haller preliminary version Abstract For…

Holomorphic symplectic geometry Arnaud Beauville Université de Nice Lisbon March 2011 Arnaud Beauville Holomorphic symplectic geometry I Symplectic structure Definition…

CAREER: Symplectic Duality 1 Introduction A symplectic algebraic variety or simply symplectic variety is a normal variety N equipped with an algebraic symplectic form ω…

� � 8. Symplectic reflection algebras 8.1. The definition of symplectic reflection algebras. Rational Cherednik algebras for finite Coxeter groups are a special case…

Fractional Brownian Motion ∗ Michigan State University Abstract Let X = {X(t), t ∈ RN} be a multiparameter fractional Brownian motion of index α (0

Invent math 2009 177: 571–597 DOI 101007s00222-009-0190-x Semitoric integrable systems on symplectic 4-manifolds Alvaro Pelayo · San Vũ Ngoc Received: 13 June 2008 Accepted:…

Mathematical Institute of Polish Academy of Sciences Sniadeckich St. 8, 00-950 Warsaw, Poland To my wife Larysa 0 Introduction A smooth manifold M is endowed by a Poisson

Symplectic 4--manifolds with = 0Seminar Talk Florida State University October 24, 2008 Stefano Vidussi (joint w. Stefan Friedl) Symplectic 4–manifolds with κ

Introduction to symplectic topology Lecture notes 1. Linear symplectic geometry. 1.1. Let V be a vector space and ω a non-degenerate skew-symmetric bilinear form on V .…

Lagrangian Intersections in Toric Manifolds Miguel Abreu emphasis on joint work with Leonardo Macarini - UFRJ arXiv:11050640 Center for Mathematical Analysis Geometry and…

Advanced Studies in Pure Mathematics 99, 20XX Title pp. 1–24 On symplectic hypersurfaces M. Lehn, Y. Namikawa, Ch. Sorger, and D. van Straten §1. Introduction A symplectic…

Introduction to symplectic topology Lecture notes 1 Linear symplectic geometry 11 Let V be a vector space and ω a non-degenerate skew-symmetric bilinear form on V Such ω…

Aleksander Doan Thomas Walpuski 2019-10-27 Abstract Based on computations of Pandharipande [Pan99], Zinger [Zin11] proved that the Gopakumar– Vafa BPS invariants BPSA,(X

SYMPLECTIC TOPOLOGY ON ALGEBRAIC 3-FOLDS YONGBIN RUAN Dedicated to the memory of Andreas Floer 1. Introduction In [18], the author introduced two Donaldson-type invariants,

Introduction to symplectic topology Lecture notes 1. Linear symplectic geometry. 1.1. Let V be a vector space and ω a non-degenerate skew-symmetric bilinear form on V .…

Holomorphic symplectic geometry Arnaud Beauville Université de Nice Lisbon, March 2011 Arnaud Beauville Holomorphic symplectic geometry I. Symplectic structure Definition…

Symplectic 4-manifolds with non-positive Kodaira dimensionTian-Jun Li Symplectic Kodaira dimension κ = −∞ 2 κ = −∞ Classification Some

Poisson geometry Local forms Topology Deformations Surgery Fibrations Reversing Examples and counter-examples of log-symplectic manifolds Gil Cavalcanti Utrecht University…

ar X iv :m at h 05 06 19 1v 1 m at h SG 1 0 Ju n 20 05 Quantitative symplectic geometry K Cieliebak H Hofer J Latschev and F Schlenk ∗ February 1 2008 A symplectic manifold…

Semitoric integrable systems on symplectic4-manifolds Alvaro Pelayo∗ and San Vũ Ngoc Abstract Let M ω be a symplectic4-manifold A semitoric integrable system onM ω…