Pontrjagin-Thom maps and the homology of the moduli stack of stable curves
| dc.creator | Ebert, Johannes | |
| dc.creator | Giansiracusa, Jeffrey | |
| dc.date | 2007-12-05 | |
| dc.date | 2008-04-23 | |
| dc.date.accessioned | 2026-07-07T09:33:54Z | |
| dc.date.available | 2026-07-07T09:33:54Z | |
| dc.description | We study the singular homology (with field coefficients) of the moduli stack of stable n-pointed complex curves of genus g (the Deligne-Mumford compactification). Each of its irreducible boundary components determines via the Pontrjagin-Thom construction a map to a certain infinite loop space whose homology is well understood. We show that these maps are surjective on homology in a range of degrees proportional to the genus. This implies the existence of many new torsion classes in the homology of the moduli stack. | |
| dc.description | 30 pages, 3 figures - v2: expanded material on homotopy types of stacks, extended Pontrjagin-Thom construction to all local quotient stacks, added references | |
| dc.identifier | https://arxiv.org/abs/0712.0702 | |
| dc.identifier | http://arxiv.org/abs/0712.0702 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159300 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32G15; 14H15; 22A22; 55R40 | |
| dc.title | Pontrjagin-Thom maps and the homology of the moduli stack of stable curves | |
| dc.type | text |