Virtual hodge polynomials of the moduli spaces of representations of degree 2 for free monoids

Kazunori Nakamoto, Takeshi Torii

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper we study the topology of the moduli spaces of representations of degree 2 for free monoids. We calculate the virtual Hodge polynomials of the character varieties for several types of 2-dimensional representations. Furthermore, we count the number of isomorphism classes for each type of 2-dimensional representations over any finite field Fq, and show that the number coincides with the virtual Hodge polynomial evaluated at q.

Original languageEnglish
Pages (from-to)80-109
Number of pages30
JournalKodai Mathematical Journal
Volume39
Issue number1
DOIs
Publication statusPublished - Mar 25 2016

Keywords

  • Character variety
  • Moduli of representations
  • Representation variety
  • Virtual hodge polynomial

ASJC Scopus subject areas

  • Mathematics(all)

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