Consider the $3 $-dimensional $\mathcal N= 4$ supersymmetric gauge theory associated
with a compact Lie group $ G $ and its quaternionic representation $\mathbf M $. Physicists …

Borisov and Joyce constructed a real virtual cycle on compact moduli spaces of stable
sheaves on Calabi–Yau 4-folds, using derived differential geometry. We construct an …

The finiteness conjecture for skein modules | Inventiones mathematicae Skip to main content
SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …

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 …

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 …

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 …

Let $ U $ be a smooth $\mathbb C $-scheme, $ f: U\to\mathbb A^ 1$ a regular function, and
$ X= $ Crit $(f) $ the critical locus, as a $\mathbb C $-subscheme of $ U $. Then one can …

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 …

This paper is concerned with a non-compact GIT quotient of a vector space, in the presence
of an abelian group action and an equivariant regular function (potential) on the quotient …

We propose a definition of Vafa-Witten invariants counting semistable Higgs pairs on a
polarised surface. We use virtual localisation applied to Mochizuki/Joyce-Song pairs. For …