Topology of spaces of hyperbolic polynomials and combinatorics of resonances
| dc.creator | Kozlov, Dmitry N. | |
| dc.date | 2001-11-14 | |
| dc.date.accessioned | 2026-07-07T04:44:35Z | |
| dc.date.available | 2026-07-07T04:44:35Z | |
| dc.description | In this paper we study the topology of the strata, indexed by number partitions $λ$, in the natural stratification of the space of monic hyperbolic polynomials of degree $n$. We prove stabilization theorems for removing an independent block or an independent relation in $λ$. We also prove contractibility of the one-point compactifications of the strata indexed by a large class of number partitions, including $λ=(k^m,1^r)$, for $m\geq 2$. Furthermore, we study the maps between the homology groups of the strata, induced by imposing additional relations (resonances) on the number partition $λ$, or by merging some of the blocks of $λ$. | |
| dc.identifier | https://arxiv.org/abs/math/0111166 | |
| dc.identifier | http://arxiv.org/abs/math/0111166 | |
| dc.identifier | Israel J. Math. 132 (2002), 189--206. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62650 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Topology | |
| dc.subject | 32S20; 05E15, 32S60, 58K15 | |
| dc.title | Topology of spaces of hyperbolic polynomials and combinatorics of resonances | |
| dc.type | text |