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Martijn Kool
Martijn Kool
Associate Professor, Mathematical Institute, Utrecht University
Verified email at uu.nl - Homepage
Title
Cited by
Cited by
Year
A short proof of the Göttsche conjecture
M Kool, V Shende, RP Thomas
Geometry & Topology 15 (1), 397-406, 2011
922011
Reduced classes and curve counting on surfaces I: theory
M Kool, RP Thomas
Algebraic Geometry 1 (3), 334-383, 2014
652014
Zero-dimensional Donaldson–Thomas invariants of Calabi–Yau 4-folds
Y Cao, M Kool
Advances in Mathematics 338, 601-648, 2018
552018
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
512022
Virtual refinements of the Vafa–Witten formula
L Göttsche, M Kool
Communications in Mathematical Physics 376 (1), 1-49, 2020
472020
Fixed point loci of moduli spaces of sheaves on toric varieties
M Kool
Advances in Mathematics 227 (4), 1700-1755, 2011
472011
Euler characteristics of moduli spaces of torsion free sheaves on toric surfaces
M Kool
Geometriae Dedicata 176 (1), 241-269, 2015
382015
Curve counting and DT/PT correspondence for Calabi-Yau 4-folds
Y Cao, M Kool
Advances in Mathematics 375, 107371, 2020
362020
Stable pair invariants of local Calabi–Yau 4-folds
Y Cao, M Kool, S Monavari
International Mathematics Research Notices 2022 (6), 4753-4798, 2022
312022
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
232018
Virtual Segre and Verlinde numbers of projective surfaces
L Göttsche, M Kool
Journal of the London Mathematical Society 106 (3), 2562-2608, 2022
192022
Donaldson–Thomas invariants of local elliptic surfaces via the topological vertex
J Bryan, M Kool
Forum of Mathematics, Sigma 7, e7, 2019
182019
Verlinde formulae on complex surfaces: K-theoretic invariants
L Göttsche, M Kool, RA Williams
Forum of Mathematics, Sigma 9, e5, 2021
172021
A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula
L Göttsche, M Kool
Communications in Number Theory and Physics 13, 165-201, 2019
152019
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
152016
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
152012
Twisted sheaves and Vafa–Witten theory
Y Jiang, M Kool
Mathematische Annalen 382 (1), 719-743, 2022
142022
Trace identities for the topological vertex
J Bryan, M Kool, B Young
Selecta Mathematica 24, 1527-1548, 2018
132018
Stable reflexive sheaves and localization
A Gholampour, M Kool
Journal of Pure and Applied Algebra 221 (8), 1934–1954, 2017
102017
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