Let X be a compact Calabi–Yau 3-fold, and write M, M‾ for the moduli stacks of objects in coh
(X), D b coh (X). There are natural line bundles KM→ M, KM‾→ M‾, analogues of canonical …

We study orientability issues of moduli spaces from gauge theories on Calabi–Yau
manifolds. Our results generalize and strengthen those for Donaldson–Thomas theory on …

For a simple, rigid vector bundle F on a Calabi–Yau 3-fold Y, we construct a symmetric
obstruction theory on the Quot scheme Quot Y (F, n), and we solve the associated …

This review gives an introduction to cohomological Donaldson–Thomas theory: the study of
a cohomology theory on moduli spaces of sheaves on Calabi–Yau threefolds, and of …

In this article, we construct a $2 $-category of Lagrangians in a fixed shifted symplectic
derived stack S. The objects and morphisms are all given by Lagrangians living on various …

Given a complex 4-fold $ X $ with an (Calabi-Yau 3-fold) anti-canonical divisor $ Y $, we
study relative Donaldson-Thomas invariants for this pair, which are elements in the …

Donaldson and Thomas defined Donaldson-Thomas (DT) invariants for moduli spaces of
sheaves on proper Calabi-Yau threefolds in [DT, T]. The definition has been extended to …

We prove the version of Joyce-Song formula for the Behrend function identities in the motivic
setting. The main method we use is the proof of Kontsevich-Soibelman conjecture about the …

Gauge Theory and Calibrated Geometry for Calabi-Yau 4-folds Page 1 Gauge Theory and
Calibrated Geometry for Calabi-Yau 4-folds CAO, Yalong A Thesis Submitted in Partial …