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Categorical Donaldson-Thomas Theory for Local Surfaces by Yukinobu Toda at Abbey's Bookshop,
Categorical Donaldson-Thomas Theory for Local Surfaces
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Yukinobu Toda

Categorical Donaldson-Thomas Theory for Local Surfaces

Yukinobu Toda

$151.95   $121.16

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English
Springer International Publishing AG
07 July 2024
Algebra; Algebraic geometry; Mathematical physics
Series: Lecture Notes in Mathematics
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 total spaces of canonical line bundles on algebraic surfaces, which form an interesting class of Calabi-Yau 3-folds. Using Koszul duality equivalences and singular support theory, dg-categories are constructed which categorify Donaldson-Thomas invariants on local surfaces. The DT invariants virtually count stable coherent sheaves on Calabi-Yau 3-folds, and play an important role in modern enumerative geometry, representation theory and mathematical physics.

Requiring a basic knowledge of algebraic geometry and homological algebra, this monograph is primarily addressed to researchers working in enumerative geometry, especially Donaldson-Thomas theory, derived categories of coherent sheaves, and related areas.
By:  
Imprint:   Springer International Publishing AG
Country of Publication:   Switzerland
Edition:   2024 ed.
Volume:   2350
Dimensions:   Height: 235mm,  Width: 155mm, 
ISBN:   9783031617041
ISBN 10:   3031617045
Series:   Lecture Notes in Mathematics
Pages:   312
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

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.

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