Articles with "curve counting" as a keyword



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Tropical refined curve counting from higher genera and lambda classes

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Published in 2019 at "Inventiones Mathematicae"

DOI: 10.1007/s00222-018-0823-z

Abstract: Block and Göttsche have defined a q-number refinement of counts of tropical curves in $$\mathbb {R}^2$$R2. Under the change of variables $$q=e^{iu}$$q=eiu, we show that the result is a generating series of higher genus log… read more here.

Keywords: genera lambda; counting higher; tropical refined; curve counting ... See more keywords
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Curve counting and DT/PT correspondence for Calabi-Yau 4-folds

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Published in 2020 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2020.107371

Abstract: Abstract Recently, Cao-Maulik-Toda defined stable pair invariants of a compact Calabi-Yau 4-fold X. Their invariants are conjecturally related to the Gopakumar-Vafa type invariants of X defined using Gromov-Witten theory by Klemm-Pandharipande. In this paper, we… read more here.

Keywords: calabi yau; yau folds; correspondence; yau ... See more keywords