Spaces of stability conditions via exceptional collection: length 4 case
Yun-Feng Wang
TL;DR
This paper characterizes the space of stability conditions on triangulated categories generated by a length 4 exceptional collection, providing an explicit description of the relevant subspace.
Contribution
It offers a precise description of the stability condition space associated with length 4 exceptional collections, advancing understanding in this specific case.
Findings
Explicit description of the subspace of stability conditions
Analysis specific to length 4 exceptional collections
Enhanced understanding of stability conditions in triangulated categories
Abstract
In this paper, we study the space of stability conditions on triangulated categories generated by an exceptional collection. We give an exact description of subspace of stability conditions generated by length 4 complete exceptional collection.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology