The A-infinity operad and the moduli space of curves
| dc.creator | Costello, Kevin | |
| dc.date | 2004-02-02 | |
| dc.date | 2004-09-15 | |
| dc.date.accessioned | 2026-07-07T05:05:02Z | |
| dc.date.available | 2026-07-07T05:05:02Z | |
| dc.description | The modular envelope of a cyclic operad is the smallest modular operad containing it. A modular operad is constructed from moduli spaces of Riemann surfaces with boundary; this modular operad is shown to be the modular envelope of the A-infinity cyclic operad. This gives a new proof of the result of Harer-Mumford-Thurston-Penner-Kontsevich that a cell complex built from ribbon graphs is homotopy equivalent to the moduli space of curves. | |
| dc.description | 14 pages. Version 2: references added, proofs cleaned up | |
| dc.identifier | https://arxiv.org/abs/math/0402015 | |
| dc.identifier | http://arxiv.org/abs/math/0402015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70033 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | The A-infinity operad and the moduli space of curves | |
| dc.type | text |