Quadratic functions and complex spin structures on three-manifolds
| dc.creator | Deloup, Florian | |
| dc.creator | Massuyeau, Gwenael | |
| dc.date | 2002-07-22 | |
| dc.date | 2004-10-15 | |
| dc.date.accessioned | 2026-07-07T08:46:14Z | |
| dc.date.available | 2026-07-07T08:46:14Z | |
| dc.description | We show how the space of complex spin structures of a closed oriented three-manifold embeds naturally into a space of quadratic functions associated to its linking pairing. Besides, we extend the Goussarov-Habiro theory of finite type invariants to the realm of compact oriented three-manifolds equipped with a complex spin structure. Our main result states that two closed oriented three-manifolds endowed with a complex spin structure are undistinguishable by complex spin invariants of degree zero if, and only if, their associated quadratic functions are isomorphic. | |
| dc.description | 41 pages with 10 figures; lightened version (some independent parts of the first version have been moved to other preprints, referenced as math.AC/0301040 and math.GT/0301041 on this server); examples and questions added; exposition improved | |
| dc.identifier | https://arxiv.org/abs/math/0207188 | |
| dc.identifier | http://arxiv.org/abs/math/0207188 | |
| dc.identifier | Topology 44:3 (2005) 509-555 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143183 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M27, 57R15 | |
| dc.title | Quadratic functions and complex spin structures on three-manifolds | |
| dc.type | text |