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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Autore principale: Toda, Yukinobu (Autore)
Ente Autore: SpringerLink (Online service)
Natura: Elettronico eBook
Lingua:inglese
Pubblicazione: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Edizione:1st ed. 2024.
Serie:Lecture Notes in Mathematics, 2350
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Accesso online:https://doi.org/10.1007/978-3-031-61705-8
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Sommario:
  • - 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.