Papers, preprints, etc.

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

Symplectic geometry

  • Mohammed Abouzaid, Denis Auroux, Homological mirror symmetry for hypersurfaces in (C*)n, in preparation.
  • Cheol-Hyun Cho, Hansol Hong, Siu-Cheong Lau, Gluing localized mirror functors, arXiv:1810.02045
  • Andrew Hanlon, Monodromy of Fukaya-Seidel categories mirror to toric varieties, arXiv:1809.06001
  • Mohammed Abouzaid, Sheel Ganatra, Hiroshi Iritani, Nick Sheridan, The Gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods, arXiv:1809.02177
  • Aliakbar Daemi, Kenji Fukaya, Monotone Lagrangian Floer theory in smooth divisor complements: I and II, arXiv:1808.08915 and arXiv:1809.03409
  • Yoel Groman, Will J. Merry, The symplectic cohomology of magnetic cotangent bundles, arXiv:1809.01085
  • Georgios Dimitroglou Rizell, Tobias Ekholm, Dmitry Tonkonog, Refined disk potentials for immersed Lagrangian surfaces, arXiv:1806.03722
  • Hansol Hong, Yoosik Kim, Siu-Cheong Lau, Immersed two-spheres and SYZ for Gr(2,C4) and OG(1,C5), arXiv:1805.11738
  • Yoel Groman, The wrapped Fukaya category for semi-toric SYZ fibrations, arXiv:1805.03635
  • Peng Zhou, Sheaf quantization of Legendrian isotopy, arXiv:1804.08928
  • Ludmil Katzarkov, Leonardo Soriani, Homological mirror symmetry, coisotropic branes and P=W, European J. Math. 4 (2018), 1141-1160, doi:10.1007/s40879-018-0273-6
  • Egor Shelukhin, Dmitry Tonkonog, Renato Vianna, Geometry of symplectic flux and Lagrangian torus fibrations, arXiv:1804.02044
  • Yu-Wei Fan, Systoles, special Lagrangians, and Bridgeland stability conditions, arXiv:1803.09684
  • Peng Zhou, Lagrangian skeleta of hypersurfaces in (C*)n, arXiv:1803.00320
  • Dmitry Tonkonog, String topology with gravitational descendants, and periods of Landau-Ginzburg potentials, arXiv:1801.06921
  • Dmitry Tonkonog, From symplectic cohomology to Lagrangian enumerative geometry, arXiv:1711.03292
  • James Pascaleff and Dmitry Tonkonog, The wall-crossing formula and Lagrangian mutations, arXiv:1711.03209
  • Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono, Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: I and II, arXiv:1710.01459, Surveys in Diff. Geom. 22, Intl. Press, 2018, 133-190, and arXiv:1808.06106
  • Mohammad Farajzadeh Tehrani, Pseudoholomorphic maps relative to normal crossings symplectic divisors: Compactification, arXiv:1710.00224
  • Ludmil Katzarkov, Gabriel Kerr, Partially wrapped Fukaya categories of simplicial skeleta, arXiv:1708.06038
  • Mohammed Abouzaid, Ciprian Manolescu, A sheaf-theoretic model for SL(2,C) Floer homology, arXiv:1708.00289
  • 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, Surveys in Diff. Geom. 22, Intl Press, 2018, 1-47.
  • 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
  • Roberta Guadagni, Symplectic neighborhood of crossing divisors, arXiv:1611.02363
  • 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
  • Zack Sylvan, On partially wrapped Fukaya categories, arXiv:1604.02540
  • 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, Acta Math. 220 (2018), 207-237.
  • 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
  • Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich, Flat surfaces and stability structures, Publ. Math. IHES 126 (2017), 247-318.
  • Mohammed Abouzaid, The family Floer functor is faithful, J. European Math. Soc. 19 (2017), 2139-2217.

Algebraic geometry

  • Ludmil Katzarkov, Maxim Kontsevich, Tony Pantev, Gluing in nc geometry and nc localization, in preparation
  • Shinobu Hosono, Bong Lian, Hiromichi Takagi, Shing-Tung Yau, K3 surfaces from configurations of six lines in P2 and mirror symmetry I, arXiv:1810.00606
  • Tony Pantev, Bertrand Toën, Poisson geometry of the moduli of local systems on smooth varieties, arXiv:1809.03536
  • Andrew Harder and Alan Thompson, Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations, arXiv:1808.06345
  • Chenglong Yu, Zhiwei Zheng, Moduli spaces of symmetric cubic fourfolds and locally symmetric varieties, arXiv:1806.04873
  • George Dimitrov, Ludmil Katzarkov, Non-commutative counting invariants and curve complexes, arXiv:1805.00294
  • Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich, Pranav Pandit, Iterated logarithms and gradient flows, arXiv:1802.04123
  • An Huang, Bong Lian, Shing-Tung Yau, Chenglong Yu, Jacobian rings for homogenous vector bundles and applications, arXiv:1801.08261
  • Mauro Porta, Tony Yue Yu, Derived Hom spaces in rigid analytic geometry, arXiv:1801.07730
  • An Huang, Bong Lian, Shing-Tung Yau, Chenglong Yu, Period integrals of local complete intersections and tautological systems, arXiv:1801.01194
  • An Huang, Bong Lian, Shing-Tung Yau, Chenglong Yu, Hasse-Witt matrices, unit roots and period integrals, arXiv:1801.01189
  • Tristan C. Collins, Dan Xie, Shing-Tung Yau, The deformed Hermitian-Yang-Mills equation in geometry and physics, arXiv:1712.00893
  • Damin Wu, Shing-Tung Yau, Invariant metrics on negatively pinched complete Kähler manifolds, arXiv:1711.09475
  • Matthew Ballard, Colin Diemer, David Favero, Kernels from compactifications, arXiv:1710.01418
  • Jingyue Chen, An Huang, Bong Lian, Shing-Tung Yau, Differential zeros of period integrals and generalized hypergeometric functions, arXiv:1709.00713, to appear in Comm. Number Th. Phys.
  • Yu-Wei Fan, Atsushi Kanazawa, Shing-Tung Yau, Weil-Petersson geometry on the space of Bridgeland stability conditions, arXiv:1708.02161
  • Andrew Harder and Ludmil Katzarkov, Perverse sheaves of categories and some applications, arXiv:1708.01181
  • Andrew Harder, Hodge numbers of Landau-Ginzburg models, arXiv:1708.01174
  • 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, Compos. Math. 154 (2018), 2055-2089
  • Yu-Wei Fan, Entropy of an autoequivalence on Calabi-Yau manifolds, arXiv:1704.06957
  • 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
  • Amin Gholampour, Artan Sheshmani, Shing-Tung Yau, Nested Hilbert schemes on surfaces: virtual fundamental class, arXiv:1701.08899, to appear in J. Diff. Geom.
  • Ludmil Katzarkov, Pranav Pandit, Theodore Spaide, Calabi-Yau structures, spherical functors, and shifted symplectic structures, arXiv:1701.07789
  • Charles Doran, Andrew Harder, Alan Thompson, Hodge numbers from Picard-Fuchs equations, arXiv:1612.09439, SIGMA 13 (2017) 045.
  • 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, Proc. Sympos. Pure Math. 98, Amer. Math. Soc., 2018, 207-227.
  • Bong H. Lian, Minxian Zhu, On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in Pn, arXiv:1610.07125, to appear in J. Diff. Geom.
  • Sergei Gukov, C.-C. Melissa Liu, Artan Sheshmani, Shing-Tung Yau, On topological approach to local theory of surfaces in Calabi-Yau threefolds, arXiv:1609.04363, Adv. Theor. Math. Phys. 21 (2017), 1679-1728.
  • 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
  • Peng Gao, Shing-Tung Yau, Wubin Zhou, Nonexistence for complete Kähler Einstein metrics on some noncompact manifolds, arXiv:1603.09135, Math. Ann. 369 (2017), 1271-1282.
  • Tony Pantev, Gabriele Vezzosi, Symplectic and Poisson derived geometry and deformation quantization, arXiv:1603.02753, Proc. Symp. Pure Math. 97.2, Amer. Math. Soc., 2018, 405-457
  • 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, Selecta Math. 24 (2018), 609-665.
  • Babak Haghighat, Hossein Mossavati, Shing-Tung Yau, Calabi-Yau modular forms in limit: elliptic fibrations, arXiv:1511.01310, Comm. Number Th. Phys. 11 (2017), 879-912.
  • 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.
  • Damin Wu, Shing-Tung Yau, Negative holomorphic curvature and positive canonical bundle, Inventiones Math. 204 (2016), 595-604.
  • Jingyue Chen and Bong H. Lian, CY principal bundles over compact Kähler manifolds, arXiv:1411.2332v2
  • Matthew Ballard, Dragos Deliu, David Favero, M. Umut Isik, Ludmil Katzarkov, On the derived categories of degree d hypersurface fibrations, Math. Ann. 371 (2018), 337-370, doi:10.1007/s00208-017-1613-4

Mathematical physics

  • Justin Hilburn, Philsang Yoo, Symplectic duality and Langlands duality, in preparation.
  • Babak Haghighat, Joonho Kim, Wenbin Yan, Shing-Tung Yau, D-type fiber-base duality, arXiv:1806.10335
  • Zhuo Chen, Tony Pantev, Eric Sharpe, Landau-Ginzburg models for certain fiber products with curves, arXiv:1806.01283
  • Wu-Yen Chuang, Duiliu-Emanuel Diaconescu, Ron Donagi, Satoshi Nawata, Tony Pantev, Twisted spectral correspondence and torus knots, arXiv:1804.08364
  • Mboyo Esole, Monica Jinwoo Kang, Shing-Tung Yau, Mordell-Weil torsion, anomalies, and phase transitions, arXiv:1712.02337
  • Ron Donagi, David Morrison, Conformal field theories and compact curves in moduli spaces, arXiv:1709.05355, J. High Energy Phys. 2018, no. 5, 021.
  • 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, Comm. Math. Phys. 359 (2018), 1027-1078.
  • Dan Xie, Shing-Tung Yau, Three dimensional canonical singularity and five dimensional N=1 SCFT, arXiv:1704.00799, J. High Energy Phys. 2017, no. 6, 134.
  • 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, J. High Energy Phys. 2017, no. 7, 129.
  • Mathew Bullimore, Tudor Dimofte, Davide Gaiotto, Justin Hilburn, Hee-Cheol Kim, Vortices and Vermas, arXiv:1609.04406
  • Tony Pantev, Eric Sharpe, Duality group actions on fermions, arXiv:1609.00011, J. High Energy Phys. 2016, no. 11, 171.
  • Tristan C. Collins, Dan Xie, Shing-Tung Yau, K stability and stability of chiral ring, arXiv:1606.09260
  • Yifan Wang, Dan Xie, Stephen S.-T. Yau, Shing-Tung Yau, 4d N=2 SCFT from complete intersection singularity, arXiv:1606.06306, Adv. Theoret. Math. Phys. 21 (2017), 801-855.
  • Dan Xie, Wenbin Yan, Shing-Tung Yau, Chiral algebra of Argyres-Douglas theory from M5 brane, arXiv:1604.02155
  • Bingyi Chen, Dan Xie, Shing-Tung Yau, Stephen S.-T. Yau, Huaiqing Zuo, 4d N=2 SCFT and singularity theory, Part II: Complete intersection, and Part III: Rigid singularity, arXiv:1604.07843 and arXiv:1712.00464
  • Dan Xie, Shing-Tung Yau, 4d N=2 SCFT and singularity theory, Part I: Classification, arXiv:1510.01324