The space of stability conditions for A₃-quiver

2013/09/04 by Takahisa Shiina, Shiina, Takahisa
Materials Science · Mathematics · #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Porphyrin and Phthalocyanine Chemistry

paper · pdf · doi:10.48550/arxiv.1309.0922

openalex publication_date 2013/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The author studied in \citeshi the covering map property of the local homeomorphism associating to the space of stability conditions over the n-Kronecker quiver. In this paper, we discuss the covering map property for stability conditions over the Dynkin quiver of type A₃. The local homeomorphism from a connected component of stability conditions over A₃ to 3-dimensional complex vector space becomes a covering map when we restrict it to the complement of six codimension one subspaces.

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