Complex cobordisms and singular manifolds arising from Chern classes
| dc.creator | Kustarev, Andrei | |
| dc.date | 2008-07-30 | |
| dc.date.accessioned | 2026-07-07T09:53:46Z | |
| dc.date.available | 2026-07-07T09:53:46Z | |
| dc.description | This paper deals with the question of J.Morava on existence of canonical complex cobordism class of singular submanifold. We present several solutions of this question for $X_r(ξ)$ -- the set of points where $\dimξ-r+1$ generic sections of a complex vector bundle $ξ$ are linearly dependent. The corresponding complex cobordism classes $Q_r(ξ)$ and $P_r(ξ)$ tend to have many nice properties, such as deformed sum formula, but they don't coincide with Chern classes $c_r^U(ξ)$. They also have relation to the theory of $IH$-small resolutions. | |
| dc.identifier | https://arxiv.org/abs/0807.4894 | |
| dc.identifier | http://arxiv.org/abs/0807.4894 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166073 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Geometric Topology | |
| dc.title | Complex cobordisms and singular manifolds arising from Chern classes | |
| dc.type | text |