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

• Nakamoto Kazunori

  Center for Medical Education and Sciences Faculty of Medicine University of Yamanashi

• Torii Takeshi

  Department of Mathematics Okayama University

抄録

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 F_q, and show that the number coincides with the virtual Hodge polynomial evaluated at q.

収録刊行物

• ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ

  ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ 39 (1), 80-109, 2016

  国立大学法人 東京工業大学理学院数学系

キーワード

• Moduli of representations
• representation variety
• character variety
• virtual Hodge polynomial

詳細情報

• CRID: 1390282680251029632
• NII論文ID: 130005475880
• DOI: 10.2996/kmj/1458651693
• ISSN: 18815472
• ISSN: 03865991
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可