Papers, preprints, etc.

This page lists some of the papers and preprints produced by the Collaboration, organized by main focus area.

Symplectic geometry

  • Yu-Wei Fan, Hansol Hong, Siu-Cheong Lau, Shing-Tung Yau, Mirror of Atiyah flop in symplectic geometry and stability conditions, arXiv:1706.02942
  • Kenji Fukaya, Unobstructed immersed Lagrangian correspondence and filtered A functor, arXiv:1706.02131
  • Denis Auroux, Speculations on homological mirror symmetry for hypersurfaces in (C)n, arXiv:1705.06667
  • Sara Venkatesh, Rabinowitz Floer homology and mirror symmetry, arXiv:1705.00032
  • Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono, Kuranishi structure, pseudo-holomorphic curve, and virtual fundamental chain: Part 2, arXiv:1704.01848
  • Mohammed Abouzaid, Homological mirror symmetry without corrections, arXiv:1703.07898
  • Mohammad Farajzadeh Tehrani, Kenji Fukaya, Gromov-Witten theory via Kuranishi structures, arXiv:1701.07821
  • Kenji Fukaya, Lie groupoid, deformation of unstable curve, and construction of equivariant Kuranishi charts, arXiv:1701.02840
  • Atsushi Kanazawa, Siu-Cheong Lau, Local Calabi-Yau manifolds of affine type A and open Yau-Zaslow formula via SYZ mirror symmetry, arXiv:1605.00342
  • Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono, Exponential decay estimates and smoothness of the moduli space of pseudoholomorphic curves, arXiv:1603.07026
  • Mohammed Abouzaid, Thomas Kragh, Simple homotopy equivalence of nearby Lagrangians, arXiv:1603.05431
  • Cheol-Hyun Cho, Hansol Hong, Siu-Cheong Lau, Noncommutative homological mirror functor, arXiv:1512.07128
  • Yoel Groman, Floer theory and reduced cohomology on open manifolds, arXiv:1510.04265
  • Kai Cieliebak, Kenji Fukaya, Janko Latschev, Homological algebra related to surfaces with boundary, arXiv:1508.02741
  • Tristan C. Collins, Adam Jacob, Shing-Tung Yau, (1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions, arXiv:1508.01934

Algebraic geometry

  • Ron Donagi, Eric Sharpe, On the global moduli of Calabi-Yau threefolds, arXiv:1707.05322
  • Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich, Pranav Pandit, Semistability, modular lattices, and iterated logarithms, arXiv:1706.01073
  • Anthony Blanc, Ludmil Katzarkov, Pranav Pandit, Generators in formal deformations of categories, arXiv:1705.00655
  • Mauro Porta, Tony Yue Yu, Representability theorem in derived analytic geometry, arXiv:1704.01683
  • Mauro Porta, The derived Riemann-Hilbert correspondence, arXiv:1703.03907
  • Maxim Kontsevich, Yan Soibelman, Airy structures and symplectic geometry of topological recursion, arXiv:1701.09137
  • Amin Gholampour, Artan Sheshmani, Shing-Tung Yau, Localized Donaldson-Thomas theory of surfaces, arXiv:1701.08902
  • Ludmil Katzarkov, Pranav Pandit, Theodore Spaide, Calabi-Yau structures, spherical functors, and shifted symplectic structures, arXiv:1701.07789
  • Ron Donagi, Tony Pantev, Carlos Simpson, Direct Images in Non Abelian Hodge Theory, arXiv:1612.06388
  • Ludmil Katzarkov, Pranav Pandit, Carlos Simpson, Reduction for SL(3) pre-buildings, arXiv:1611.08644
  • Bong H. Lian, Minxian Zhu, On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in Pn, arXiv:1610.07125
  • Benjamin Hennion, Mauro Porta, Gabriele Vezzosi, Formal gluing along non-linear flags, arXiv:1607.04503
  • Ilia Itenberg, Ludmil Katzarkov, Grigory Mikhalkin, Ilia Zharkov, Tropical homology, arXiv:1604.01838
  • Tony Pantev, Gabriele Vezzosi, Symplectic and Poisson derived geometry and deformation quantization, arXiv:1603.02753, to appear in Proc. Symp. Pure Math.
  • George Dimitrov, Ludmil Katzarkov, Kronecker quivers, norms and families of categories, arXiv:1602.09117
  • Mauro Porta, Tony Yue Yu, Derived non-archimedean analytic spaces, arXiv:1601.00859
  • Babak Haghighat, Hossein Mossavati, Shing-Tung Yau, Calabi-Yau modular forms in limit: elliptic fibrations, arXiv:1511.01310
  • An Huang, Bong H. Lian, Shing-Tung Yau, Xinwen Zhu, Chain integral solutions to tautological systems, arXiv:1508.00406, Math. Res. Letters 23 (2016), 1721-1736.
  • Jingyue Chen and Bong H. Lian, CY principal bundles over compact Kähler manifolds, arXiv:1411.2332v2

Mathematical physics

  • Babak Haghighat, Wenbin Yan, Shing-Tung Yau, ADE string chains and mirror symmetry, arXiv:1705.05199
  • Duiliu-Emanuel Diaconescu, Ron Donagi, Tony Pantev, BPS states, torus links and wild character varieties, arXiv:1704.07412
  • Volker Braun, Mirjam Cvetic, Ron Donagi, Maximilian Poretschkin, Type II String Theory on Calabi-Yau Manifolds with Torsion and Non-Abelian Discrete Gauge, arXiv:1702.08071, to appear in JHEP
  • Mathew Bullimore, Tudor Dimofte, Davide Gaiotto, Justin Hilburn, Hee-Cheol Kim, Vortices and Vermas, arXiv:1609.04406
  • Tristan C. Collins, Dan Xie, Shing-Tung Yau, K stability and stability of chiral ring, arXiv:1606.09260
  • Dan Xie, Wenbin Yan, Shing-Tung Yau, Chiral algebra of Argyres-Douglas theory from M5 brane, arXiv:1604.02155
  • Dan Xie, Shing-Tung Yau, 4d N=2 SCFT and singularity theory, Part I: Classification, arXiv:1510.01324