|
|||||
|
|
|
|
|
|
|
|
|
Symplectic and contact
differential graded algebras
Tobias Ekholm and Alexandru Oancea |
|
Geometry & Topology 21 (2017) 2161–2230
|
Abstract |
|
We define Hamiltonian simplex differential graded algebras (DGA) with differentials that deform the high-energy symplectic homology differential and wrapped Floer homology differential in the cases of closed and open strings in a Liouville manifold of finite type, respectively. The order- term in the differential is induced by varying natural degree- coproducts over an –simplex, where the operations near the boundary of the simplex are trivial. We show that the Hamiltonian simplex DGA is quasi-isomorphic to the (nonequivariant) contact homology algebra and to the Legendrian homology algebra of the ideal boundary in the closed and open string cases, respectively. |
Keywords
symplectic homology, wrapped Floer homology, contact
homology, symplectic field theory
|
Mathematical Subject Classification 2010
Primary: 53D40, 53D42
Secondary: 16E45, 18G55
|
References |
Publication
Received: 20 August 2015
Revised: 16 June 2016
Accepted: 24 August 2016
Published: 19 May 2017
Proposed: Yasha Eliashberg
Seconded: András I. Stipsicz, Ciprian Manolescu
|
Authors |
| Tobias Ekholm | |
| Department of Mathematics University of Uppsala Box 480 SE-751 06 Uppsala Sweden |
|
| Alexandru Oancea | |
| Sorbonne Universités, UPMC Univ.
Paris 06 UMR 7586, Institut de Mathématiques de Jussieu-Paris Rive Gauche Case 247 4 place Jussieu 75005 Paris France |
|
|
