An extension of the Siegel space of complex abelian varieties and conjectures on stability structures
arXiv:1808.06364 · doi:10.1007/s00229-019-01146-5
Abstract
We study semi--algebraic domains associated with symplectic tori and conjecturally identified with spaces of stability conditions on the Fukaya categories of these tori. Our motivation is to test which results from the theory of flat surfaces could hold for more general spaces of stability conditions. The main results concern systolic bounds and volume of the moduli space.
arXiv comment35 pages, comments encouraged
References in corpus (7)
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
- Flat surfaces and stability structures
- Conjectures on Bridgeland stability for Fukaya categories of Calabi-Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow
- Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and Mirror Symmetry
- Homological mirror symmetry for the four-torus
- Weil-Petersson geometry on the space of Bridgeland stability conditions
- Systolic inequalities for K3 surfaces via stability conditions