Wilkin, Graeme Peter Desmond (2010) HOMOTOPY GROUPS OF MODULI SPACES OF STABLE QUIVER REPRESENTATIONS. International Journal of Mathematics. p. 1219.
Abstract
The purpose of this paper is to describe a method for computing homotopy groups of the space of α-stable representations of a quiver with fixed dimension vector and stability parameter α. The main result is that the homotopy groups of this space are trivial up to a certain dimension, which depends on the quiver, the choice of dimension vector, and the choice of parameter. As a corollary we also compute low dimensional homotopy groups of the moduli space of α-stable representations of the quiver with fixed dimension vector, and apply the theory to the space of non-degenerate polygons in three-dimensional Euclidean space.
Metadata
Authors/Creators: |
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Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 18 Sep 2019 12:00 |
Last Modified: | 06 Dec 2023 13:16 |
Published Version: | https://doi.org/10.1142/S0129167X1000646X |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1142/S0129167X1000646X |
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Filename: Quivers_Transversality_IJM.pdf
Description: Quivers Transversality IJM