An overview of Morihiko Saito's theory of mixed Hodge modules

C Schnell - arXiv preprint arXiv:1405.3096, 2014 - arxiv.org
arXiv:1405.3096v1 [math.AG] 13 May 2014 Page 1 arXiv:1405.3096v1 [math.AG] 13 May 2014
AN OVERVIEW OF MORIHIKO SAITO’S THEORY OF MIXED HODGE MODULES CHRISTIAN …

Towards a mathematical definition of Coulomb branches of -dimensional gauge theories, I

H Nakajima - arXiv preprint arXiv:1503.03676, 2015 - arxiv.org
Consider the $3 $-dimensional $\mathcal N= 4$ supersymmetric gauge theory associated
with a compact Lie group $ G $ and its quaternionic representation $\mathbf M $. Physicists …

A 'Darboux theorem'for shifted symplectic structures on derived Artin stacks, with applications

O Ben-Bassat, C Brav, V Bussi, D Joyce - Geometry & Topology, 2015 - msp.org
A `Darboux theorem' for shifted symplectic structures on derived Artin stacks, with applications
Page 1 msp Geometry & Topology 19 (2015) 1287–1359 A ‘Darboux theorem’ for shifted …

Cohomological Donaldson–Thomas theory of a quiver with potential and quantum enveloping algebras

B Davison, S Meinhardt - Inventiones mathematicae, 2020 - Springer
This paper concerns the cohomological aspects of Donaldson–Thomas theory for Jacobi
algebras and the associated cohomological Hall algebra, introduced by Kontsevich and …

Virtual fundamental classes for moduli spaces of sheaves on Calabi–Yau four-folds

D Borisov, D Joyce - Geometry & Topology, 2017 - msp.org
Abstract Let (X, ω X∗) be a separated,− 2–shifted symplectic derived ℂ–scheme, in the
sense of Pantev, Toën, Vezzosi and Vaquié (2013), of complex virtual dimension vdim ℂ X …

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 …

BPS algebras and generalised Kac-Moody algebras from 2-Calabi-Yau categories

B Davison, L Hennecart, SS Mejia - arXiv preprint arXiv:2303.12592, 2023 - arxiv.org
We determine the structure of the BPS algebra of $2 $-Calabi-Yau Abelian categories
whose stack of objects admits a good moduli space. We prove that this algebra is …

Secondary products in supersymmetric field theory

C Beem, D Ben-Zvi, M Bullimore, T Dimofte… - Annales Henri …, 2020 - Springer
The product of local operators in a topological quantum field theory in dimension greater
than one is commutative, as is more generally the product of extended operators of …

A classical model for derived critical loci

D Joyce - Journal of Differential Geometry, 2015 - projecteuclid.org
Let $ f: U\to\mathbb {A}^ 1$ be a regular function on a smooth scheme $ U $ over a field
$\mathbb {K} $. Pantev, Toën, Vaquié and Vezzosi [30, 37] define the 'derived critical …

[图书][B] Intersection Homology & Perverse Sheaves

L Maxim - 2019 - Springer
In recent years, intersection homology and perverse sheaves have become indispensable
tools for studying the topology of singular spaces. This book provides a gentle introduction to …