Symplectic $A_\infty$-algebras and string topology operations
| dc.creator | Hamilton, Alastair | |
| dc.creator | Lazarev, Andrey | |
| dc.date | 2007-07-26 | |
| dc.date | 2007-08-15 | |
| dc.date.accessioned | 2026-07-07T08:23:30Z | |
| dc.date.available | 2026-07-07T08:23:30Z | |
| dc.description | In this paper we establish the existence of certain structures on the ordinary and equivariant homology of the free loop space on a manifold or, more generally, a formal Poincaré duality space. These structures; namely the loop product, the loop bracket and the string bracket, were introduced and studied by Chas and Sullivan under the general heading `string topology'. Our method is based on obstruction theory for $C_\infty$-algebras and rational homotopy theory. The resulting string topology operations are manifestly homotopy invariant. | |
| dc.description | Due to a strange glitch in the original submission a wrong TeX file was uploaded; this version hopefully corrects this error. This paper is a revision of the part of math.QA/0410621 which deals with string topology type operations and can be read independently. 9 pages | |
| dc.identifier | https://arxiv.org/abs/0707.4003 | |
| dc.identifier | http://arxiv.org/abs/0707.4003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136020 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Topology | |
| dc.title | Symplectic $A_\infty$-algebras and string topology operations | |
| dc.type | text |