A Note on Partial Quasi-Morphisms and Products in Lagrangian Floer Homology in Cotangent Bundles

被引：0

作者：

Katic, Jelena ^{[1
]}

Milinkovic, Darko ^{[1
]}

Nikolic, Jovana ^{[1
]}

机构：

[1] Matemat Fak, Studentski Trg 16, Belgrade 11000, Serbia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 04期

关键词：

Partial quasi-morphisms; Lagrangian submanifolds; Floer homology; spectral invariants; SPECTRAL INVARIANTS; SYMPLECTIC TOPOLOGY; GEOMETRY; NUMBERS;

D O I：

10.1007/s00009-022-02043-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define partial quasi-morphisms on the group of Hamiltonian diffeomorphisms of the cotangent bundle using the spectral invariants in Lagrangian Floer homology with conormal boundary conditions, where the product compatible with the PSS isomorphism and the homological intersection product is lacking.

引用

页数：19

共 15 条

[1] A Note on Partial Quasi-Morphisms and Products in Lagrangian Floer Homology in Cotangent Bundles
Jelena Katić
Darko Milinković
Jovana Nikolić
Mediterranean Journal of Mathematics, 2022, 19
[2] Lagrangian Rabinowitz Floer homology and twisted cotangent bundles
Merry, Will J.
GEOMETRIAE DEDICATA, 2014, 171 (01) : 345 - 386
[3] Lagrangian Rabinowitz Floer homology and twisted cotangent bundles
Will J. Merry
Geometriae Dedicata, 2014, 171 : 345 - 386
[4] Spectral Invariants With Bulk, Quasi-Morphisms and Lagrangian Floer Theory
Fukaya, Kenji
Oh, Yong-Guen
Ohta, Hiroshi
Ono, Kaoru
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 260 (1254) : I - +
[5] Equivariant Lagrangian Floer homology via cotangent bundles of EGN
Cazassus, Guillem
JOURNAL OF TOPOLOGY, 2024, 17 (01)
[6] On the Floer homology of cotangent bundles
Abbondandolo, A
Schwarz, M
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2006, 59 (02) : 254 - 316
[7] Floer homology of cotangent bundles and the loop product
Abbondandolo, Alberto
Schwarz, Matthias
GEOMETRY & TOPOLOGY, 2010, 14 (03) : 1569 - 1722
[8] On the Rabinowitz Floer homology of twisted cotangent bundles
Merry, Will J.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2011, 42 (3-4) : 355 - 404
[9] On the Rabinowitz Floer homology of twisted cotangent bundles
Will J. Merry
Calculus of Variations and Partial Differential Equations, 2011, 42 : 355 - 404
[10] Homology of Lagrangian submanifolds in cotangent bundles
Lev Buhovsky
Israel Journal of Mathematics, 2004, 143 : 181 - 187

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