Categorical Donaldson-Thomas Theory for Local Surfaces

Häftad, Engelska, 2024

Del 2350 i serien Lecture Notes in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2024-07-07
Mått:155 x 235 x 18 mm
Vikt:493 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:312
Förlag:Springer International Publishing AG
ISBN:9783031617041

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik
Matematisk fysik inom Naturvetenskap och teknik

Mer om författaren

Prof. Yukinobu Toda received his PhD from the University of Tokyo in 2006, and held a JSPS postdoctoral position at the University of Tokyo from 2006 to 2007. Subsequently, he started at the Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU) in 2008, initially as a project assistant professor, and since 2017, he has held the position of full professor at Kavli IPMU. He was an ICM invited speaker in 2014 in Seoul.

Innehållsförteckning

- 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.