Open-Closed String Topology via Fat Graphs
| dc.creator | Ramirez, Antonio | |
| dc.date | 2006-06-20 | |
| dc.date.accessioned | 2026-07-07T07:17:31Z | |
| dc.date.available | 2026-07-07T07:17:31Z | |
| dc.description | Given a smooth closed manifold M with a family {L_i} of closed submanifolds, we consider the free loop space LM and the spaces PM(L_i,L_j) of open strings (paths g:[0,1]->M with g(0) in L_i, and g(1) in L_j). We construct string topology operations resulting in an open-closed TQFT on the family (h_*(LM),h_*(PM(L_i,L_j)) which extends the known string topology TQFT on h_*(LM). Here, h_* is a multiplicative generalized homology theory supporting orientations for M and the L_i. To construct the operations, we introduce the notion of open-closed fat graph, generalizing fat graphs to the open-closed setting. | |
| dc.description | 36 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606512 | |
| dc.identifier | http://arxiv.org/abs/math/0606512 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113965 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Geometric Topology | |
| dc.subject | 55P35; 57R56 | |
| dc.title | Open-Closed String Topology via Fat Graphs | |
| dc.type | text |