Witten's top Chern class via K-theory
| dc.creator | Chiodo, Alessandro | |
| dc.date | 2002-10-25 | |
| dc.date | 2006-03-31 | |
| dc.date.accessioned | 2026-07-07T06:35:32Z | |
| dc.date.available | 2026-07-07T06:35:32Z | |
| dc.description | The Witten top Chern class is the crucial cohomology class needed to state a conjecture by Witten relating the Gelfand-Dikii hierarchies to higher spin curves. In math.AG/0011032, Polishchuk and Vaintrob provide an algebraic construction of such a class. We present a more straightforward construction via K-theory. In this way we short-circuit the passage through bivariant intersection theory and the use of MacPherson's graph construction. Furthermore, we show that the Witten top Chern class admits a natural lifting to the K-theory ring. | |
| dc.description | 25 pages, revised version, to appear in J. Algebraic Geom | |
| dc.identifier | https://arxiv.org/abs/math/0210398 | |
| dc.identifier | http://arxiv.org/abs/math/0210398 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99820 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60 (Primary) 14H10 (Secondary) | |
| dc.title | Witten's top Chern class via K-theory | |
| dc.type | text |