Gopakumar–Vafa invariants via vanishing cycles
D Maulik, Y Toda - Inventiones mathematicae, 2018 - Springer
In this paper, we propose an ansatz for defining Gopakumar–Vafa invariants of Calabi–Yau
threefolds, using perverse sheaves of vanishing cycles. Our proposal is a modification of a …
threefolds, using perverse sheaves of vanishing cycles. Our proposal is a modification of a …
Stable pair invariants of local Calabi–Yau 4-folds
Abstract In 2008, Klemm–Pandharipande defined Gopakumar–Vafa type invariants of a
Calabi–Yau 4-folds using Gromov–Witten theory. Recently, Cao–Maulik–Toda proposed a …
Calabi–Yau 4-folds using Gromov–Witten theory. Recently, Cao–Maulik–Toda proposed a …
Orientations for DT invariants on quasi-projective Calabi–Yau 4-folds
A Bojko - Advances in Mathematics, 2021 - Elsevier
Abstract For a Calabi–Yau 4-fold (X, ω), where X is quasi-projective and ω is a nowhere
vanishing section of its canonical bundle KX, the (derived) moduli stack of compactly …
vanishing section of its canonical bundle KX, the (derived) moduli stack of compactly …
A proof of the Donaldson–Thomas crepant resolution conjecture
SV Beentjes, J Calabrese, JV Rennemo - Inventiones mathematicae, 2022 - Springer
We prove the crepant resolution conjecture for Donaldson–Thomas invariants of hard
Lefschetz 3-Calabi–Yau (CY3) orbifolds, formulated by Bryan–Cadman–Young, interpreting …
Lefschetz 3-Calabi–Yau (CY3) orbifolds, formulated by Bryan–Cadman–Young, interpreting …
Gopakumar-Vafa invariants and wall-crossing
Y Toda - arXiv preprint arXiv:1710.01843, 2017 - arxiv.org
In this paper, we generalize a mathematical definition of Gopakumar-Vafa (GV) invariants on
Calabi-Yau 3-folds introduced by Maulik and the author, using an analogue of BPS sheaves …
Calabi-Yau 3-folds introduced by Maulik and the author, using an analogue of BPS sheaves …
Gopakumar–Vafa invariants and wall-crossing
Y Toda - Journal of Differential Geometry, 2023 - projecteuclid.org
In this paper, we give a generalization of a mathematical definition of Gopakumar–Vafa (GV)
invariants on Calabi–Yau 3-folds introduced by Maulik and the author, using an analogue of …
invariants on Calabi–Yau 3-folds introduced by Maulik and the author, using an analogue of …
Counting surfaces on Calabi-Yau 4-folds II: - correspondence
This is the second part in a series of papers on counting surfaces on Calabi-Yau 4-folds. In
this paper, we introduce $ K $-theoretic $\mathrm {DT},\mathrm {PT} _0,\mathrm {PT} _1 …
this paper, we introduce $ K $-theoretic $\mathrm {DT},\mathrm {PT} _0,\mathrm {PT} _1 …
A degeneration formula of Donaldson-Thomas theory on Calabi-Yau 4-folds
arXiv:2402.16103v1 [math.AG] 25 Feb 2024 Page 1 arXiv:2402.16103v1 [math.AG] 25 Feb 2024
A DEGENERATION FORMULA OF DONALDSON-THOMAS THEORY ON CALABI-YAU …
A DEGENERATION FORMULA OF DONALDSON-THOMAS THEORY ON CALABI-YAU …
Calabi-Yau structures, spherical functors, and shifted symplectic structures
L Katzarkov, P Pandit, T Spaide - arXiv preprint arXiv:1701.07789, 2017 - arxiv.org
A categorical formalism is introduced for studying various features of the symplectic
geometry of Lefschetz fibrations and the algebraic geometry of Tyurin degenerations. This …
geometry of Lefschetz fibrations and the algebraic geometry of Tyurin degenerations. This …
Wall-crossing and orientations for invariants counting coherent sheaves on CY fourfolds
A Bojko - 2021 - ora.ox.ac.uk
Borisov–Joyce and Oh–Thomas defined virtual invariants counting sheaves on Calabi–Yau
fourfolds. Similarly to Donaldson invariants, these depend on existence and choice of …
fourfolds. Similarly to Donaldson invariants, these depend on existence and choice of …