Non-abelian local invariant cycles

Yen Lung Tsai, Eugene Z. Xia

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Let f be a degeneration of Kähler manifolds. The local invariant cycle theorem states that for a smooth fiber of the degeneration, any coho-mology class, invariant under the monodromy action, comes 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.

Original languageEnglish
Pages (from-to)2365-2367
Number of pages3
JournalProceedings of the American Mathematical Society
Volume135
Issue number8
DOIs
Publication statusPublished - 2007 Aug

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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