Non-abelian local invariant cycles

Yen Lung Tsai, Eugene Z. Xia

研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)2365-2367
頁數3
期刊Proceedings of the American Mathematical Society
135
發行號8
DOIs
出版狀態Published - 2007 八月

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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