scholarly journals The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint

2008 ◽  
pp. 1-26 ◽  
Author(s):  
K. Fukaya ◽  
P. Seidel ◽  
I. Smith
Keyword(s):  
Symplectic Geometry ◽  
Cotangent Bundles

scholarly journals Conformal symplectic geometry of cotangent bundles

2019 ◽  
Vol 17 (3) ◽  
pp. 639-661 ◽  
Author(s):  
Baptiste Chantraine ◽  
Emmy Murphy
Keyword(s):  
Symplectic Geometry ◽  
Cotangent Bundles

scholarly journals -rigidity of Lagrangian submanifolds and punctured holomorphic disks in the cotangent bundle

2021 ◽  
Vol 157 (11) ◽  
pp. 2433-2493
Author(s):  
Cedric Membrez ◽  
Emmanuel Opshtein
Keyword(s):  
Cotangent Bundle ◽  
Symplectic Geometry ◽  
Homology Class ◽  
Lagrangian Submanifolds ◽  
Area Spectrum ◽  
Zero Section ◽  
Integral Homology ◽  
Cotangent Bundles ◽  
Maslov Class ◽  
Holomorphic Disks

Abstract Our main result is the $\mathbb {\mathcal {C}}^{0}$ -rigidity of the area spectrum and the Maslov class of Lagrangian submanifolds. This relies on the existence of punctured pseudoholomorphic disks in cotangent bundles with boundary on the zero section, whose boundaries represent any integral homology class. We discuss further applications of these punctured disks in symplectic geometry.

scholarly journals Infinitely many leaf-wise intersections on cotangent bundles

2012 ◽  
Vol 30 (2) ◽  
pp. 168-181 ◽  
Author(s):  
Peter Albers ◽  
Urs Frauenfelder
Keyword(s):  
Cotangent Bundles

scholarly journals Symplectic geometry of the moduli space of projective structures in homological coordinates

2017 ◽  
Vol 210 (3) ◽  
pp. 759-814 ◽  
Author(s):  
Marco Bertola ◽  
Dmitry Korotkin ◽  
Chaya Norton
Keyword(s):  
Moduli Space ◽  
Symplectic Geometry ◽  
Projective Structures
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