Bridgeland stability conditions on the acyclic triangular quiver

George Dimitrov; Ludmil Katzarkov

doi:10.1016/j.aim.2015.10.014

Bridgeland stability conditions on the acyclic triangular quiver

George Dimitrov, Ludmil Katzarkov

Research output: Contribution to journal › Article

5 Scopus citations

Abstract

Using results in our previous paper "Non-semistable exceptional objects in hereditary categories", we focus here on studying the topology of the space of Bridgeland stability conditions on D^b(Rep_k(Q)), where Q= and k is an algebraically closed field. In particular, we prove that this space is contractible (in the previous paper it was shown that it is connected).

Original language	English (US)
Pages (from-to)	825-886
Number of pages	62
Journal	Advances in Mathematics
Volume	288
DOIs	https://doi.org/10.1016/j.aim.2015.10.014
State	Published - Jan 22 2016
Externally published	Yes

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Keywords

Affine quiver
Bridgeland stability conditions on triangulated categories
Contractible space
Exceptional collections
Tame representation type quiver

ASJC Scopus subject areas

Mathematics(all)

Cite this

Dimitrov, G., & Katzarkov, L. (2016). Bridgeland stability conditions on the acyclic triangular quiver. Advances in Mathematics, 288, 825-886. https://doi.org/10.1016/j.aim.2015.10.014

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KW - Exceptional collections

KW - Tame representation type quiver

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Access to Document

10.1016/j.aim.2015.10.014