LK
Ludmil Katzarkov
math.AGmath.SGmath.CTmath.DGhep-thmath.RTmath.GTalg-geommath.ATmath.MP
On Valency
published · living versionsW_5khc63ed·v1 · currentpublished
An atomic approach to Shokurov's conic-bundle conjecture
with Leonardo F. Cavenaghi, Daniel Pomerleano, Zhijia Zhang
1 version
Preprints & journals
79 papers in the corpus · 1994–2026A quantum connection approach to rationality2610.06669v1 · Luiz Carazolli, Leonardo F. Cavenaghi, Ludmil Katzarkov et al.2026 · 0 citationsarXiv
Dolbeault-Hochster Theory of Polytopal LVM Manifolds2609.37936v1 · Ludmil Katzarkov, Kyoung-Seog Lee, Ernesto Lupercio et al.2026 · 0 citationsarXiv
On the atomic decomposition of complete intersection in flag varieties2609.21914v2 · Boris Alexeev, Leonardo F. Cavenaghi, Giovane Galindo et al.2026 · 0 citationsarXiv
Towards Categorical Kähler Geometry2609.00978v1 · Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich et al.2026 · 0 citationsarXiv
The Cohomology of Solvmanifold SYZ Mirrors2604.19303v1 · Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov et al.2026 · 0 citationsarXiv
Atoms meet symbols2509.15831v4 · Leonardo F. Cavenaghi, Ludmil Katzarkov, Maxim Kontsevich2025 · 0 citationsarXiv
Birational Invariants from Hodge Structures and Quantum Multiplication2508.05105v2 · Ludmil Katzarkov, Maxim Kontsevich, Tony Pantev et al.2025 · 0 citationsarXiv
On Hodge polynomials for nonalgebraic complex manifolds.40208935 · Katzarkov, Ludmil, Lee, Kyoung-Seog, Lupercio, Ernesto et al.2025 · 0 citationsProceedings of the National Academy of Sciences of the United States of America. 2025;122(15):e2415722122
Revisiting the Classical McKay Correspondence, Derived Equivalences and the Spectrum of Kleinian Surface Singularities: A Look Through the Mirror2407.21313v1 · Enrique Becerra, Ludmil Katzarkov, Ernesto Lupercio2024 · 0 citationsarXiv
A Gromov-Witten approach to -equivariant birational invariants2405.07322v4 · Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov2024 · 0 citationsarXiv
A Geometric Realization of Spherical T-Duality via -Diagrams2404.19088v5 · Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov2024 · 0 citationsarXiv
Spectral Networks and Stability Conditions for Fukaya Categories with Coefficients.39403571 · Haiden, F, Katzarkov, L, Simpson, C2024 · 0 citationsCommunications in mathematical physics. 2024;405(11):264
Shifted symplectic structures on derived Quot-stacks II -- Derived Quot-schemes as dg manifolds2312.02815v1 · Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani2023 · 0 citationsAdv in Math , Vol 462, 10092, 2025
Exceptional collections and phantoms of special Dolgachev surfaces2310.13319v2 · Ilya Karzhemanov, Ludmil Katzarkov2023 · 0 citationsarXiv
Modularity of Landau-Ginzburg models2307.15607v2 · Charles Doran, Andrew Harder, Ludmil Katzarkov et al.2023 · 3 citationsProceedings of the Steklov Institute of Mathematics, 328 (2025), 157--295
Reductive Shafarevich Conjecture2306.03070v2 · Ya Deng, Katsutoshi Yamanoi, Ludmil Katzarkov2023 · 1 citationarXiv
and Splice Diagrams2304.00699v3 · Sergei Gukov, Ludmil Katzarkov, Josef Svoboda2023 · 0 citationsSIGMA 21 (2025), 073, 30 pages
Discriminants and toric K-theory2205.00903v3 · R. Paul Horja, Ludmil Katzarkov2022 · 0 citationsarXiv
Vector bundles on elliptic surfaces and logarithmic transformations2204.08927v1 · Ludmil Katzarkov, Kyoung-Seog Lee2022 · 0 citationsarXiv
Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves2107.01981v3 · Denis Auroux, Alexander I. Efimov, Ludmil Katzarkov2021 · 0 citationsarXiv
Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds2007.13194v2 · Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani et al.2020 · 0 citationsarXiv
Quantum (Non-commutative) Toric Geometry: Foundations2002.03876v1 · Ludmil Katzarkov, Ernesto Lupercio, Laurent Meersseman et al.2020 · 13 citationsarXiv
On pseudo-Anosov autoequivalences1910.12350v5 · Yu-Wei Fan, Simion Filip, Fabian Haiden et al.2019 · 13 citationsAdv. Math., Vol. 384 (2021)
Shifted symplectic structures on derived Quot-stacks I: Differential graded manifolds1908.03021v3 · Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani2019 · 3 citationsAdvances in Mathematics, Volume 403, 16 July 2022
Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms1908.00651v3 · Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani et al.2019 · 0 citationsAdvances in Mathematics Volume 438, February 2024, 109477
P=W Phenomena1905.08706v2 · Andrew Harder, Ludmil Katzarkov, Victor Przyjalkowski2019 · 5 citationsMath. Notes, 108:1 (2020), 39--49
Projecting Fanos in the mirror1904.02194v1 · Alexander Kasprzyk, Ludmil Katzarkov, Victor Przyjalkowski et al.2019 · 6 citationsarXiv
More finite sets coming from non-commutative counting1903.00295v3 · George Dimitrov, Ludmil Katzarkov2019 · 2 citationsarXiv
Symplectic Surgeries Along Certain Singularities and New Lefschetz Fibrations1812.06623v3 · Anar Akhmedov, Ludmil Katzarkov2018 · 2 citationsAdvances in Mathematics, Volume 360, 22 January 2020
Non-commutative counting invariants and curve complexes1805.00294v4 · George Dimitrov, Ludmil Katzarkov2018 · 4 citationsarXiv
Iterated logarithms and gradient flows1802.04123v1 · Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich et al.2018 · 7 citationsarXiv
Partially wrapped Fukaya categories of simplicial skeleta1708.06038v1 · Ludmil Katzarkov, Gabriel Kerr2017 · 5 citationsarXiv
Perverse sheaves of categories and some applications1708.01181v3 · Andrew Harder, Ludmil Katzarkov2017 · 6 citationsAdv. Math., Volume 352, 20 August 2019, Pages 1155-1205
Semistability, modular lattices, and iterated logarithms1706.01073v2 · Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich et al.2017 · 10 citationsJ. Differential Geom. 123 (1), 21-66, (2023)
Generators in formal deformations of categories1705.00655v1 · Anthony Blanc, Ludmil Katzarkov, Pranav Pandit2017 · 11 citationsCompositio Math. 154 (2018) 2055-2089
Calabi-Yau Structures, Spherical Functors, and Shifted Symplectic Structures1701.07789v2 · Ludmil Katzarkov, Pranav Pandit, Theodore Spaide2017 · 7 citationsarXiv
Reduction for pre-buildings1611.08644v1 · Ludmil Katzarkov, Pranav Pandit, Carlos Simpson2016 · 0 citationsarXiv
Tropical Homology1604.01838v3 · Ilia Itenberg, Ludmil Katzarkov, Grigory Mikhalkin et al.2016 · 3 citationsMathematische Annalen, 374 (1-2), pp. 963-1006 (2019)
Some new categorical invariants1602.09117v3 · George Dimitrov, Ludmil Katzarkov2016 · 9 citationsarXiv
Constructing Buildings and Harmonic Maps1503.00989v1 · Ludmil Katzarkov, Alexander Noll, Pranav Pandit et al.2015 · 10 citationsarXiv
Bridgeland stability conditions on the acyclic triangular quiver1410.0904v1 · George Dimitrov, Ludmil Katzarkov2014 · 18 citationsarXiv
Flat surfaces and stability structures1409.8611v2 · Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich2014 · 155 citationsPubl.math.IHES 126, 247--318 (2017)
Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models1409.5996v2 · Ludmil Katzarkov, Maxim Kontsevich, Tony Pantev2014 · 81 citationsarXiv
On the Derived Categories of Degree d Hypersurface Fibrations1409.5568v1 · Matthew Ballard, Dragos Deliu, David Favero et al.2014 · 19 citationsarXiv
Birational geometry via moduli spaces1405.3374v1 · Ivan Cheltsov, Ludmil Katzarkov, Victor Przyjalkowski2014 · 14 citationsBirational geometry, rational curves, and arithmetic, Simons symposium 2012, Springer, 2013, 93--132
Non-semistable exceptional objects in hereditary categories: some remarks and conjectures1405.2943v3 · George Dimitrov, Ludmil Katzarkov2014 · 0 citationsarXiv
Harmonic Maps to Buildings and Singular Perturbation Theory1311.7101v1 · Ludmil Katzarkov, Alexander Noll, Pranav Pandit et al.2013 · 48 citationsarXiv
Non-semistable exceptional objects in hereditary categories1311.7125v1 · George Dimitrov, Ludmil Katzarkov2013 · 9 citationsarXiv
A category of kernels for equivariant factorizations, II: further implications1310.2656v2 · Matthew Ballard, David Favero, Ludmil Katzarkov2013 · 19 citationsarXiv
Orlov spectra as a filtered cohomology theory.23970804 · Katzarkov, Ludmil, Kerr, Gabriel2021 · 3 citationsAdvances in mathematics. 2013;243(100):232-261
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