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March 2016 Virtual Hodge polynomials of the moduli spaces of representations of degree 2 for free monoids
Kazunori Nakamoto, Takeshi Torii
Kodai Math. J. 39(1): 80-109 (March 2016). DOI: 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.

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Kazunori Nakamoto. Takeshi Torii. "Virtual Hodge polynomials of the moduli spaces of representations of degree 2 for free monoids." Kodai Math. J. 39 (1) 80 - 109, March 2016. https://doi.org/10.2996/kmj/1458651693

Information

Published: March 2016
First available in Project Euclid: 22 March 2016

zbMATH: 1344.14013
MathSciNet: MR3478272
Digital Object Identifier: 10.2996/kmj/1458651693

Rights: Copyright © 2016 Tokyo Institute of Technology, Department of Mathematics

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Vol.39 • No. 1 • March 2016
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