The canonical wall structure and intrinsic mirror symmetry
M Gross, B Siebert - Inventiones mathematicae, 2022 - Springer
As announced in Gross and Siebert (in Algebraic geometry: Salt Lake City 2015,
Proceedings of Symposia in Pure Mathematics, vol 97, no 2. AMS, Providence, pp 199–230 …
Proceedings of Symposia in Pure Mathematics, vol 97, no 2. AMS, Providence, pp 199–230 …
Cohomological χ–independence for moduli of one-dimensional sheaves and moduli of Higgs bundles
D Maulik, J Shen - Geometry & Topology, 2023 - msp.org
We prove that the intersection cohomology (together with the perverse and the Hodge
filtrations) for the moduli space of one-dimensional semistable sheaves supported in an …
filtrations) for the moduli space of one-dimensional semistable sheaves supported in an …
Holomorphic anomaly equation for
Holomorphic anomaly equation for (P2 , ) and the Nekrasov-Shatashvili limit of local P Page 1
Forum of Mathematics, Pi (2021), Vol. 9:e3 1–57 doi:10.1017/fmp.2021.3 RESEARCH ARTICLE …
Forum of Mathematics, Pi (2021), Vol. 9:e3 1–57 doi:10.1017/fmp.2021.3 RESEARCH ARTICLE …
Perverse filtrations, Chern filtrations, and refined BPS invariants for local P2
We explore connections between three structures associated with the cohomology of the
moduli of 1-dimensional stable sheaves on P 2: perverse filtrations, tautological classes, and …
moduli of 1-dimensional stable sheaves on P 2: perverse filtrations, tautological classes, and …
Vafa–Witten invariants from exceptional collections
Supersymmetric D-branes supported on the complex two-dimensional base S of the local
Calabi–Yau threefold KS are described by semi-stable coherent sheaves on S. Under …
Calabi–Yau threefold KS are described by semi-stable coherent sheaves on S. Under …
Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I
We study BPS spectra of D-branes on local Calabi-Yau threefolds O (-p) ⊕ O (p-2) → P^ 1 O
(-p)⊕ O (p-2)→ P 1 with p= 0, 1 p= 0, 1, corresponding to C^ 3/Z _ 2 C 3/Z 2 and the …
(-p)⊕ O (p-2)→ P 1 with p= 0, 1 p= 0, 1, corresponding to C^ 3/Z _ 2 C 3/Z 2 and the …
Generators for the cohomology ring of the moduli of one-dimensional sheaves on
W Pi, J Shen - arXiv preprint arXiv:2204.05866, 2022 - arxiv.org
We explore the structure of the cohomology ring of the moduli space of stable 1-dimensional
sheaves on $\mathbb {P}^ 2$ of any degree. We obtain a minimal set of tautological …
sheaves on $\mathbb {P}^ 2$ of any degree. We obtain a minimal set of tautological …
Stable maps to Looijenga pairs built from the plane
M van Garrel - arXiv preprint arXiv:2302.00351, 2023 - arxiv.org
Choosing a normal crossings anticanonical divisor of $\mathbb {P}^ 2$ leads to four log
Calabi-Yau surfaces, three of which are Looijenga pairs. In this survey article, I describe how …
Calabi-Yau surfaces, three of which are Looijenga pairs. In this survey article, I describe how …
BPS Dendroscopy on Local
P Bousseau, P Descombes, B Le Floch… - … in Mathematical Physics, 2024 - Springer
The spectrum of BPS states in type IIA string theory compactified on a Calabi–Yau threefold
famously jumps across codimension-one walls in complexified Kähler moduli space, leading …
famously jumps across codimension-one walls in complexified Kähler moduli space, leading …
Tropical correspondence for smooth del Pezzo log Calabi-Yau pairs
T Graefnitz - arXiv preprint arXiv:2005.14018, 2020 - arxiv.org
Consider a log Calabi-Yau pair $(X, D) $ consisting of a smooth del Pezzo surface $ X $ of
degree $\geq 3$ and a smooth anticanonical divisor $ D $. We prove a correspondence …
degree $\geq 3$ and a smooth anticanonical divisor $ D $. We prove a correspondence …