James CollianderDepartment of Mathematics, University of TorontoGigliola StaffilaniDepartment of Mathematics, Massachusetts Institute of TechnologyMarkus KeelDepartment of Mathematics, University of Minnesota Twin CitiesHideo TakaokaDepartment of Mathematics Faculty of Science, Kobe UniversityTerence TaoDepartment of Mathematics, University of California
Coates T, Corti A, Iritani H, et al. Computing genus-zero twisted Gromov-Witten invariants[J]. Duke Mathematical Journal, 2007, 147(3): 377-438.
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Yukinobu Toda. Moduli stacks and invariants of semistable objects on K3 surfaces. 2007.
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Toda Y. Stability conditions and crepant small resolutions[J]. Transactions of the American Mathematical Society, 2008, 360(11): 6149-6178.
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Bayer A, Macri E, Toda Y, et al. Bridgeland Stability conditions on threefolds I: Bogomolov-Gieseker type inequalities[J]. Journal of Algebraic Geometry, 2011, 23(1): 117-163.
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Broomhead N, Ploog D. Autoequivalences of toric surfaces[J]. Proceedings of the American Mathematical Society, 2010, 142(4): 1133-1146.
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Canonaco A, Stellari P. Fourier-Mukai functors in the supported case[J]. Compositio Mathematica, 2010, 150(08): 1349-1383.
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Lekili Y, Maydanskiy M. The symplectic topology of some rational homology balls[J]. Commentarii Mathematici Helvetici, 2012, 89(3): 571-596.
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Huybrechts D. Stability conditions via spherical objects[J]. Mathematische Zeitschrift, 2010, 271(3): 1253-1270.
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Seidel P. Disjoinable Lagrangian spheres and dilations[J]. Inventiones Mathematicae, 2013, 197(2): 299-359.
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Yukinobu Toda. Curve counting invariants around the conifold point. 2010.
We study the spaces of locally finite stability conditions on the derived categories of coherent sheaves on the minimal resolutions
of An-singularities supported at the exceptional sets. Our main theorem is that they are connected and simply-connected. The
proof is based on the study of spherical objects in [30] and the homological mirror symmetry for An-singularities.
Duncan, JohnCase Western Reserve UniversityEtingof, PavelMITIvan Chi-Ho IpUniversity of TokyoKhovanov, MikhailColumbia UniversityLibine, MatveiIndiana UniversityLicata, AnthonyAustralian National UniversitySavage, AlistairUniversity of OttawaSchlosser, MichaelUniversity of Vienna
Perspectives in Representation Theory: A Conference in Honor of Igor Frenkel’s 60th Birthday on Perspectives in Representation Theory, Yale University, New Haven, 12-17 May 2012