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Invariants of local Calabi-Yau 3-folds

Publications

Rank 2 wall-crossing and the Serre correspondence

Author(s): Amin Gholampour, Martijn Kool
Published in: Selecta Mathematica, Issue 23/2, 2017, Page(s) 1599-1617, ISSN 1022-1824
DOI: 10.1007/s00029-016-0293-3

Rank 2 Sheaves on Toric 3-Folds: Classical and Virtual Counts

Author(s): Amin Gholampour, Martijn Kool, Benjamin Young
Published in: International Mathematics Research Notices, 2017, Page(s) rnw302, ISSN 1073-7928
DOI: 10.1093/imrn/rnw302

Virtual refinements of the Vafa-Witten formula

Author(s): M. Kool and L. Göttsche
Published in: preprint on arXiv, to be submitted to journal, 2017, Page(s) 36 pages

Stable pairs with descendents on local surfaces I: the vertical component

Author(s): M. Kool and R.P. Thomas (with an appendix by A. Pixton and D. Zagier)
Published in: preprint on arXiv.org, accepted for publication in Pure and Applied Mathematics Quarterly, 2016, Page(s) 51 pages

Higher rank sheaves on threefolds and functional equations

Author(s): M. Kool and A. Gholampour
Published in: arxiv.org, to be submitted to journal, 2017, Page(s) 33 pages