Categorical Donaldson-Thomas Theory for Local Surfaces

This book provides an introduction to categorical Donaldson-Thomas (DT) theory, a rapidly developing field which has close links to enumerative geometry, birational geometry, geometric representation theory and classical moduli problems in algebraic geometry. The focus is on local surfaces, i.e. the...

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Bibliographic Details
Main Author: Toda, Yukinobu
Format: eBook
Language:English
Published: Cham Springer Nature Switzerland 2024, 2024
Edition:1st ed. 2024
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • - Introduction
  • Koszul duality equivalence
  • Categorical DT theory for local surfaces
  • D-critical D/K equivalence conjectures
  • Categorical wall-crossing via Koszul duality
  • Window theorem for DT categories
  • Categori ed Hall products on DT categories
  • Some auxiliary results