Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface
G Oberdieck - Geometry & Topology, 2024 - msp.org
We conjecture that the generating series of Gromov–Witten invariants of the Hilbert schemes
of n points on a K3 surface are quasi-Jacobi forms and satisfy a holomorphic anomaly …
of n points on a K3 surface are quasi-Jacobi forms and satisfy a holomorphic anomaly …
Counting surfaces on Calabi-Yau 4-folds I: foundations
This is the first part in a series of papers on counting surfaces on Calabi-Yau 4-folds.
Besides the Hilbert scheme of 2-dimensional subschemes, we introduce\emph {two} types of …
Besides the Hilbert scheme of 2-dimensional subschemes, we introduce\emph {two} types of …
Open/closed BPS correspondence and integrality
S Yu - Communications in Mathematical Physics, 2024 - Springer
We prove the integrality and finiteness of open BPS invariants of toric Calabi–Yau 3-folds
relative to Aganagic–Vafa outer branes, defined from open Gromov–Witten invariants by the …
relative to Aganagic–Vafa outer branes, defined from open Gromov–Witten invariants by the …
Gromov–Witten theory and Noether–Lefschetz theory for holomorphic-symplectic varieties
G Oberdieck - Forum of Mathematics, Sigma, 2022 - cambridge.org
We use Noether–Lefschetz theory to study the reduced Gromov–Witten invariants of a
holomorphic-symplectic variety of-type. This yields strong evidence for a new conjectural …
holomorphic-symplectic variety of-type. This yields strong evidence for a new conjectural …
Second Chern class and Fujiki constants of hyperk\" ahler manifolds
T Beckmann, J Song - arXiv preprint arXiv:2201.07767, 2022 - arxiv.org
We study characteristic classes on hyperk\" ahler manifolds with a view towards the
Verbitsky component. The case of the second Chern class leads to a conditional upper …
Verbitsky component. The case of the second Chern class leads to a conditional upper …
Stable pairs and Gopakumar-Vafa type invariants on holomorphic symplectic 4-folds
Y Cao, G Oberdieck, Y Toda - Advances in Mathematics, 2022 - Elsevier
As an analogy to Gopakumar-Vafa conjecture on Calabi-Yau 3-folds, Klemm-
Pandharipande defined Gopakumar-Vafa type invariants of a Calabi-Yau 4-fold X using …
Pandharipande defined Gopakumar-Vafa type invariants of a Calabi-Yau 4-fold X using …
Bordism categories and orientations of gauge theory moduli spaces
D Joyce, M Upmeier - arXiv preprint arXiv:2312.10516, 2023 - arxiv.org
This is the second paper of a series that develops a bordism-theoretic point of view on
orientations in enumerative geometry. The first paper is arXiv: 2312.06818. This paper …
orientations in enumerative geometry. The first paper is arXiv: 2312.06818. This paper …
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 …
Compound Du Val singularities, five-dimensional SCFTs and GV invariants
M De Marco - 2023 - iris.sissa.it
In this thesis work we introduce a new method to study the dynamics of M-theory on
compound Du Val threefold singularities (cDV). Incidentally, this also furnishes a new way to …
compound Du Val threefold singularities (cDV). Incidentally, this also furnishes a new way to …
Geometry and derived categories of holomorphic symplectic manifolds
TM Beckmann - 2022 - pure.mpg.de
Geometry and derived categories of holomorphic symplectic manifolds Page 1 Geometry and
derived categories of holomorphic symplectic manifolds Dissertation zur Erlangung des …
derived categories of holomorphic symplectic manifolds Dissertation zur Erlangung des …