Non-abelian Local Invariant Cycles
| dc.creator | Tsai, Yen-lung | |
| dc.creator | Xia, Eugene Z. | |
| dc.date | 2004-11-23 | |
| dc.date.accessioned | 2026-07-07T05:14:36Z | |
| dc.date.available | 2026-07-07T05:14:36Z | |
| dc.description | Let f be a degeneration of Kahler manifolds. The local invariant cycle theorem states that for a smooth fiber of the degeneration, any cohomology class, invariant under the monodromy action, rises from a global cohomology class. Instead of the classical cohomology, one may consider the non-abelian cohomology. This note demonstrates that the analogous non-abelian version of the local invariant cycle theorem does not hold if the first non-abelian cohomology is the moduli space (universal categorical quotient) of the representations of the fundamental group. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411504 | |
| dc.identifier | http://arxiv.org/abs/math/0411504 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73337 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D05; 20F34; 55N2 | |
| dc.title | Non-abelian Local Invariant Cycles | |
| dc.type | text |