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Start Over Topic compactification (mathematics) Topic elliptic curves Publication Year Range Last 3 years Database Academic Search Index Publisher american mathematical society

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1. Thurston compactifications of spaces of stability conditions on curves.

Author

Kikuta, Kohei, Koseki, Naoki, and Ouchi, Genki

Subjects
*MIRROR symmetry, *ELLIPTIC curves, *COMPACTIFICATION (Mathematics), *TORUS
Abstract

In this paper, we construct a compactification of the space of Bridgeland stability conditions on a smooth projective curve, as an analogue of Thurston compactifications in Teichmüller theory. In the case of elliptic curves, we compare our results with the classical one of the torus via homological mirror symmetry and give the Nielsen–Thurston classification of autoequivalences using the compactification. Furthermore, we observe an interesting phenomenon in the case of the projective line. [ABSTRACT FROM AUTHOR]

Published
2024
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