### 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*, arXiv:1706.02131_{∞}functor - Denis Auroux,
*Speculations on homological mirror symmetry for hypersurfaces in (*, arXiv:1705.06667**C**^{∗})^{n} - 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*, arXiv:1610.07125**P**^{n} - 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