766 citations · 1.3k across the 40 of their papers we have counts for
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Moduli space of Conformal Field Theories and non-commutative Riemannian geometry
Yan Soibelman
We discuss the analogy between collapsing Conformal Field Theories and measured Gromov-Hausdorff limit of Riemannian manifolds with non-negative Ricci curvature. Motivated by this…
Geometric engineering of (framed) BPS states
Wu-yen Chuang, Duiliu-Emanuel Diaconescu, Jan Manschot +2
BPS quivers for N=2 SU(N) gauge theories are derived via geometric engineering from derived categories of toric Calabi-Yau threefolds. While the outcome is in agreement of previous…
Quantum Wall Crossing in N=2 Gauge Theories
Tudor Dimofte, Sergei Gukov, Yan Soibelman
We study refined and motivic wall-crossing formulas in N=2 supersymmetric gauge theories with SU(2) gauge group and N_f < 4 matter hypermultiplets in the fundamental representation…
Mirror symmetry and deformation quantization
Paul Bressler, Yan Soibelman
The paper is devoted to the comparison of the Fukaya category (it is responcible for the A-side of mirror symmetry) with the category of holonomic modules over the quantized algebr…