Ludmil Katzarkov

Publications³²

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  Book Birational Geometry, Kähler–Einstein Metrics and Degenerations / Отв. ред.: L. Katzarkov, J. Park, X. Chen, I. Cheltsov. Vol. 409. Cham : Springer, 2023. doi
• Chapter Katzarkov L., Petkov A., Svoboda J., Lee K. Interpretations of Spectra, in: Birational Geometry, Kähler–Einstein Metrics and Degenerations / Отв. ред.: L. Katzarkov, J. Park, X. Chen, I. Cheltsov. Vol. 409. Cham : Springer, 2023. doi P. 371-407. doi
• Article Katzarkov L., Dimitrov G. Noncommutative counting invariants and curve complexes // International Mathematics Research Notices. 2022. Vol. 2022. No. 17. P. 13317-13395. doi
• Preprint Katzarkov L., Griffiths P. Shafarevich mappings and period mappings / Cornell University. Series arXiv "math". 2022. No. 14088. doi
• Article Borisov D., Katzarkov L., Sheshmani A. Shifted symplectic structures on derived Quot-stacks I – Differential graded manifolds – // Advances in Mathematics. 2022. Vol. 403. Article 108369. doi
• Article Katzarkov L., Pandit P., Spaide T. Calabi-Yau structures, spherical functors, and shifted symplectic structures // Advances in Mathematics. 2021. Vol. 392. Article 108037. doi
• Article Fan Y., Filip S., Haiden F., Katzarkov L., Liu Y. On pseudo-Anosov autoequivalences // Advances in Mathematics. 2021. Vol. 384. Article 107732. doi
• Article Katzarkov L., Lupercio E., Meersseman L., Verjovsky A. Quantum (non-commutative) toric geometry: Foundations // Advances in Mathematics. 2021. Vol. 391. Article 107945. doi
• Article Katzarkov L., Akhmedov A. Symplectic surgeries along certain singularities and new Lefschetz fibrations // Advances in Mathematics. 2020. Vol. 360. P. 1-23. doi
• Article Przyjalkowski V., Harder A., Katzarkov L. Феномен P=W // Mathematical notes. 2020. Vol. 108. No. 1. P. 33-46. doi
• Article Katzarkov L., Dimitrov G. Bridgeland stability conditions on wild Kronecker quivers // Advances in Mathematics. 2019. Vol. 352. P. 27-55. doi
• Article Harder A., Katzarkov L. Perverse sheaves of categories and some applications // Advances in Mathematics. 2019. Vol. 352. P. 1155-1205. doi
• Article Dimitrov G., Katzarkov L. Some new categorical invariants // Selecta Mathematica, New Series. 2019. Vol. 25:45. P. 1-60. doi
• Article Itenberg I., Katzarkov L., Mikhalkin G., Zharkov I. Tropical Homology // Mathematische Annalen. 2019. Vol. 374. No. 1-2. P. 963-1006. doi
• Article Katzarkov L., Blanc A., Pandit P. Generators in formal deformations of categories // Compositio Mathematica. 2018. Vol. 154. P. 2055-2089. doi
• Article Katzarkov L., Soriani L. Homological Mirror Symmetry, coisotropic branes and P = W // European Journal of Mathematics. 2018. Vol. 4. P. 1141-1160. doi
• Article Katzarkov L. On the derived categories of degree d hypersurface fibrations // Mathematische Annalen. 2018. Vol. 371. No. 1-2. P. 337-370. doi
• Book Algebra, Geometry, and Physics in the 21st Century / Ed. by D. Auroux, L. Katzarkov, T. Pantev, Y. Soibelman, Y. Tschinkel. Birkhäuser, 2017. doi
• Article Katzarkov L., Kontsevich M., Pantev T. Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models // Journal of Differential Geometry. 2017. Vol. 105. No. 1. P. 55-117. doi
• Article Haiden F., Katzarkov L., Kontsevich M. Flat surfaces and stability structures // Publications Mathématiques de l'IHÉS. 2017. Vol. 126. P. 247-318. doi
• Article Ballard M., Deliu D., Favero D., Isik M. U., Katzarkov L. Homological projective duality via variation of geometric invariant theory quotients // Journal of the European Mathematical Society. 2017. Vol. 19. No. 4. P. 1127-1158. doi
• Article Katzarkov L., Gross M., Ruddat H. Towards mirror symmetry for varieties of general type // Advances in Mathematics. 2017. Vol. 308. P. 208-275. doi
• Article Katzarkov L., Dimitrov G. Bridgeland Stability Conditions on the Acyclic Triangular Quiver // Advances in Mathematics. 2016. Vol. 288. P. 825-886. doi
• Article Katzarkov L., Abouzaid M., Auroux D. Lagrangian Fibrations on Blowups of Toric Varieties and Mirror Symmetry for Hypersurfaces // Publications Mathématiques de l'IHÉS. 2016. Vol. 123. No. 1. P. 199-282. doi
• Chapter Katzarkov L., Harder A., Liu Y. Perverse sheaves of categories and non-rationality, in: Geometry Over Nonclosed Fields. Springer, 2016. P. 53-96. doi
• Article Katzarkov L., Deliu D., Favero D., Isik M. U., Ballard M. Resolutions in Factorization Categories // Advances in Mathematics. 2016. Vol. 295. P. 195-249. doi
• Article Galkin S., Katzarkov L., Mellit A., Shinder E. Derived categories of Keum's fake projective planes // Advances in Mathematics. 2015. Vol. 278. P. 238-253. doi
• Book The Influence of Solomon Lefschetz in Geometry and Topology: 50 Years of Mathematics at CINVESTAV / Ed. by L. Katzarkov, E. Lupercio, F. J. Turrubiates. Vol. 621. American Mathematical Society, 2014. doi
• Preprint Galkin S., Katzarkov L., Mellit A., Shinder E. Minifolds and Phantoms / Cornell University. Series math "arxiv.org". 2013. No. 1305.4549v1.
• Article Przyjalkowski V., Katzarkov L. Generalized Homological Mirror Symmetry and cubics // Proceedings of the Steklov Institute of Mathematics. 2009. No. 264. P. 87-95.
• Article Katzarkov L., Yotov M., Orlov D. O., Kapustin A. Homological mirror symmetry for manifolds of general type // Central European Journal of Mathematics. 2009. No. 7:4
• Article Orlov D. O., Katzarkov L., Auroux D. Mirror symmetry for weighted projective planes and their noncommutative deformations // Annals of Mathematics. 2008. No. 167:3. P. 867-943.