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Cohomology of Moduli of Representations of Monomial Algebras. (arXiv:1504.05234v2 [math.AG] UPDATED)
来源于:arXiv
In this paper, we study moduli spaces of representations of certain quivers
with relations. For quivers without relations and other categories of
homological dimension one, a lot of information is known about the cohomology
of their moduli spaces of objects. On the other hand, categories of higher
homological dimension remain more mysterious from this point of view, with few
general methods. In this paper, we will see how some of the methods used to
study quivers can be extended to work for representations of any
(noncommutative) monomial algebra with relations of length two. In particular,
we will give an algorithm to calculate in many cases the classes of these
moduli spaces in the Grothendieck ring of varieties. 查看全文>>