Virtual Hodge polynomials of the moduli spaces of representations of degree 2 for free monoids
Nakamoto, Kazunori · Torii, Takeshi
Algebraic Geometry
Algebraic Topology
Representation Theory
Primary 20M30, Secondary 14C30, 14G05, 14F45
الأصل · EN
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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