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Motivic virtual signed Euler characteristics and their applications to Vafa-Witten invariants
For any scheme M with a perfect obstruction theory, Jiang and Thomas associated a scheme N with a symmetric perfect obstruction theory. The scheme N ...
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Geometric Brauer residue via root stacks
We reinterpret the residue map for the Brauer group of a smooth variety using a root stack construction and Weil restriction for algebraic stacks,...
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The logarithmic gauged linear sigma model
We introduce the notion of log R -maps, and develop a proper moduli stack of stable log R -maps in the case of a hybrid gauged linear sigma model. Two...
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TOWARDS AN INTERSECTION CHOW COHOMOLOGY THEORY FOR GIT QUOTIENTS
We study the Fulton-MacPherson operational Chow rings of good moduli spaces of properly stable, smooth, Artin stacks. Such spaces are étale locally...
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Correction to: Generalized Springer theory for D-modules on a reductive Lie algebra
In this note, we note the errata in Gunningham (2018) and give revised proofs of the main results (which remain true as stated). The author would...
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Deformations of vector bundles over Lie groupoids
VB-groupoids are vector bundles in the category of Lie groupoids. They encompass several classical objects, including Lie group representations and...
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Loop Grassmannians of Quivers and Affine Quantum Groups
We construct for each choice of a quiver Q, a cohomology theory A, and a poset P a “loop Grassmannian”...
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Interpretations of Spectra
The studies of homological mirror symmetry as correspondence of Lefshetz pencils was initiated as part of the general theory of categorical linear...
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LATTICE VERTEX ALGEBRAS AND LOOP GRASSMANNIANS
For an integral symmetric matrix κ we construct a new “nonabelian homology localization” of the lattice vertex algebra
L κ on the corresponding loop... -
Cheat Codes for Logarithmic GW Theory
The goal of this final section is to give the reader a set of cheat codes to navigate logarithmic GW theory.
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COHOMOLOGICAL INVARIANTS OF THE STACK OF HYPERELLIPTIC CURVES OF ODD GENUS
We compute the cohomological invariants of ℋ g , the moduli stack of smooth hyperelliptic curves, for every odd g .
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Nearby cycles of parahoric shtukas, and a fundamental lemma for base change
Using the Langlands–Kottwitz paradigm, we compute the trace of Frobenius composed with Hecke operators on the cohomology of nearby cycles, at places...
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Nonequivariant Background
We begin recalling standard terminology and notations.