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 language | English (US) |
|---|---|
| Pages (from-to) | 825-886 |
| Number of pages | 62 |
| Journal | Advances in Mathematics |
| Volume | 288 |
| DOIs | |
| 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
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 journal › Article
}
TY - JOUR
T1 - Bridgeland stability conditions on the acyclic triangular quiver
AU - Dimitrov, George
AU - Katzarkov, Ludmil
PY - 2016/1/22
Y1 - 2016/1/22
N2 - 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).
AB - 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).
KW - Affine quiver
KW - Bridgeland stability conditions on triangulated categories
KW - Contractible space
KW - Exceptional collections
KW - Tame representation type quiver
UR - http://www.scopus.com/inward/record.url?scp=84947598015&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84947598015&partnerID=8YFLogxK
U2 - 10.1016/j.aim.2015.10.014
DO - 10.1016/j.aim.2015.10.014
M3 - Article
VL - 288
SP - 825
EP - 886
JO - Advances in Mathematics
JF - Advances in Mathematics
SN - 0001-8708
ER -