Bibliographic Details
| Title: |
Thurston compactifications of spaces of stability conditions on curves. |
| Authors: |
Kikuta, Kohei, Koseki, Naoki, Ouchi, Genki |
| Superior Title: |
Transactions of the American Mathematical Society; Apr2024, Vol. 377 Issue 4, p2897-2923, 27p |
| Subject Terms: |
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] |
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| Database: |
Complementary Index |
