Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2018)156
Abstract: A bstractWe apply the modular approach to computing the topological string partition function on non-compact elliptically fibered Calabi-Yau 3-folds with higher Kodaira singularities in the fiber. The approach consists in making an ansatz for the… read more here.
Keywords: function; calabi yau; yau folds; partition function ... See more keywords
Counting perverse coherent systems on Calabi–Yau 4-folds
Sign Up to like & getrecommendations! Published in 2022 at "Mathematische Annalen"
DOI: 10.1007/s00208-022-02364-1
Abstract: Nagao-Nakajima introduced counting invariants of stable perverse coherent systems on small resolutions of Calabi-Yau 3-folds and determined them on the resolved conifold. Their invariants recover DT/PT invariants and Szendroi's non-commutative invariants in some chambers of… read more here.
Keywords: counting invariants; coherent systems; calabi yau; yau folds ... See more keywords
Genus zero Gopakumar–Vafa type invariants for Calabi–Yau 4-folds
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DOI: 10.1016/j.aim.2018.08.013
Abstract: Abstract In analogy with the Gopakumar–Vafa conjecture on CY 3-folds, Klemm and Pandharipande defined GV type invariants on Calabi–Yau 4-folds using Gromov–Witten theory and conjectured their integrality. In this paper, we propose a sheaf-theoretic interpretation… read more here.
Keywords: genus zero; calabi yau; yau folds; type invariants ... See more keywords
Curve counting and DT/PT correspondence for Calabi-Yau 4-folds
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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
Calabi–Yau 3-folds from projective joins of del Pezzo manifolds
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DOI: 10.1016/j.aim.2022.108243
Abstract: In this paper, we will construct new examples of derived equivalent Calabi--Yau 3-folds with Picard number greater than one. We also study their mirror Calabi--Yau manifolds and find that they are given by Schoen's fiber… read more here.
Keywords: joins del; calabi yau; del pezzo; folds projective ... See more keywords