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

Kazunori Nakamoto, Takeshi Torii

Type: Article

Publication Date: 2016-03-01

Citations: 1

DOI: https://doi.org/10.2996/kmj/1458651693

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.

Locations

Kodai Mathematical Journal - View
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Virtual Hodge polynomials of the moduli spaces of representations of degree 2 for free monoids	2015	Kazunori Nakamoto Takeshi Torii
+	Virtual Hodge polynomials of the moduli spaces of representations for free monoids	2013	Kazunori Nakamoto Takeshi Torii
+ PDF Chat	Topology of the moduli of representations with Borel mold	2004	Kazunori Nakamoto Takeshi Torii
+	Virtual Classes of Character Stacks	2022	Ángel González-Prieto Márton Hablicsek Jesse Vogel
+	Hodge polynomials of character varieties	2015	Javier Martínez Martínez
+ PDF Chat	The moduli of representations of degree 2	2017	Kazunori Nakamoto
+	The Cohomology of Monoids	2024	Antonio M. Cegarra Jonathan Leech
+ PDF Chat	Hodge-Deligne polynomials of character varieties of free abelian groups	2021	Carlos Florentino Jaime Silva
+	Monodromy of rank 2 twisted Hitchin systems and real character varieties	2017	David Baraglia Laura P. Schaposnik
+	New moduli components of rank 2 bundles on projective space	2017	Charles Almeida Marcos Jardim А. С. Тихомиров С. А. Тихомиров
+ PDF Chat	Hodge polynomials of the moduli spaces of rank 3 pairs	2008	Vicente Muñoz
+ PDF Chat	Character Varieties and Moduli of Quiver Representations	2013	Carlos Florentino Sean Lawton
+ PDF Chat	Indecomposable vector bundles via monads on P2n+1 × P2n+1	2021	Damian Maingi
+	Topological Quantum Field Theories for character varieties	2018	Ángel González-Prieto
+	Hilbert series of mixed braid monoid $ MB_{2, 2} $	2022	Zaffar Iqbal Xiujun Zhang Mobeen Munir Ghina Mubashar
+ PDF Chat	Monads and cohomology modules of rank 2 vector bundles	1990	Wolfram Decker
+	Character Theory of Monoids over an Arbitrary Field	2014	Ariane M. Masuda Luciane Quoos Benjamin Steinberg
+	Character Theory of Monoids over an Arbitrary Field	2014	Ariane M. Masuda Luciane Quoos Benjamin Steinberg
+ PDF Chat	New moduli components of rank 2 bundles on projective space	2021	Charles Almeida Marcos Jardim А. С. Тихомиров С. А. Тихомиров
+	Maximal Specht Varieties of Monoids	2012	Edmond W. H. Lee

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	The moduli of representations of degree 2	2017	Kazunori Nakamoto

Works Cited by This (28)

Action	Title	Year	Authors
+	Geometric Invariant Theory	1994	David Mumford John E. Fogarty Frances Kirwan
+	Algebraic Groups and Class Fields	1988	Jean-Pierre Serre
+	Counting Representations of Quivers over Finite Fields	2000	Jiuzhao Hua
+	Geometric reductivity over arbitrary base	1977	C. S. Seshadri
+	Cohomology of Groups	1982	Kenneth S. Brown
+	Space of Unitary Vector Bundles on a Compact Riemann Surface	1967	C. S. Seshadri
+ PDF Chat	Counting rational points of quiver moduli	2006	Markus Reineke
+	Holomorphic vector bundles on a compact Riemann surface	1964	M. S. Narasimhan C. S. Seshadri
+ PDF Chat	MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS	1994	Alastair King
+ PDF Chat	Topology of the moduli of representations with Borel mold	2004	Kazunori Nakamoto Takeshi Torii