Bridgeland stability conditions on the acyclic triangular quiver

George Dimitrov, Ludmil Katzarkov

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 Db(Repk(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 languageEnglish (US)
Pages (from-to)825-886
Number of pages62
JournalAdvances in Mathematics
Volume288
DOIs
StatePublished - Jan 22 2016
Externally publishedYes

Fingerprint

Quiver
Stability Condition
Triangular
Algebraically closed
Topology
Object

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

Bridgeland stability conditions on the acyclic triangular quiver. / Dimitrov, George; Katzarkov, Ludmil.

In: Advances in Mathematics, Vol. 288, 22.01.2016, p. 825-886.

Research output: Contribution to journalArticle

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