A short proof of the Göttsche conjecture M Kool, V Shende, RP Thomas Geometry & Topology 15 (1), 397-406, 2011 | 92 | 2011 |
Reduced classes and curve counting on surfaces I: theory M Kool, RP Thomas Algebraic Geometry 1 (3), 334-383, 2014 | 66 | 2014 |
Zero-dimensional Donaldson–Thomas invariants of Calabi–Yau 4-folds Y Cao, M Kool Advances in Mathematics 338, 601-648, 2018 | 58 | 2018 |
K-theoretic DT/PT correspondence for toric Calabi–Yau 4-folds Y Cao, M Kool, S Monavari Communications in Mathematical Physics 396 (1), 225-264, 2022 | 54 | 2022 |
Fixed point loci of moduli spaces of sheaves on toric varieties M Kool Advances in Mathematics 227 (4), 1700-1755, 2011 | 48 | 2011 |
Virtual refinements of the Vafa–Witten formula L Göttsche, M Kool Communications in Mathematical Physics 376 (1), 1-49, 2020 | 47 | 2020 |
Euler characteristics of moduli spaces of torsion free sheaves on toric surfaces M Kool Geometriae Dedicata 176 (1), 241-269, 2015 | 38 | 2015 |
Curve counting and DT/PT correspondence for Calabi-Yau 4-folds Y Cao, M Kool Advances in Mathematics 375, 107371, 2020 | 36 | 2020 |
Stable pair invariants of local Calabi–Yau 4-folds Y Cao, M Kool, S Monavari International Mathematics Research Notices 2022 (6), 4753-4798, 2022 | 32 | 2022 |
Reduced classes and curve counting on surfaces II: calculations M Kool, RP Thomas Algebraic Geometry 1 (3), 384–399, 2014 | 29* | 2014 |
Refined Vafa-Witten invariants and modularity L Göttsche, M Kool Pure and Applied Mathematics Quarterly 14, 467-513, 2018 | 23 | 2018 |
Virtual Segre and Verlinde numbers of projective surfaces L Göttsche, M Kool Journal of the London Mathematical Society 106 (3), 2562-2608, 2022 | 20 | 2022 |
Verlinde formulae on complex surfaces: K-theoretic invariants L Göttsche, M Kool, RA Williams Forum of Mathematics, Sigma 9, e5, 2021 | 18 | 2021 |
Donaldson–Thomas invariants of local elliptic surfaces via the topological vertex J Bryan, M Kool Forum of Mathematics, Sigma 7, e7, 2019 | 18 | 2019 |
Stable pairs with descendents on local surfaces I: the vertical component M Kool, RP Thomas Pure and Applied Mathematics Quarterly 13 (4), 581-638, 2016 | 17 | 2016 |
A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula L Göttsche, M Kool Communications in Number Theory and Physics 13, 165-201, 2019 | 16 | 2019 |
Twisted sheaves and Vafa–Witten theory Y Jiang, M Kool Mathematische Annalen 382 (1), 719-743, 2022 | 15 | 2022 |
Trace identities for the topological vertex J Bryan, M Kool, B Young Selecta Mathematica 24, 1527-1548, 2018 | 15 | 2018 |
Sheaves on weighted projective planes and modular forms A Gholampour, Y Jiang, M Kool Advances in Theoretical and Mathematical Physics 21 (6), 1455-1524, 2012 | 15 | 2012 |
Proof of a magnificent conjecture M Kool, JV Rennemo preprint 67, 2021 | 11 | 2021 |