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Recent Progress on the Donaldson¿Thomas Theory: Wall-Crossing and Refined Invariants

-15% su kodu: ENG15
93,58 
Įprasta kaina: 110,09 
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
93,58 
Įprasta kaina: 110,09 
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
2025-02-28 110.0900 InStock
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Knygos aprašymas

This book is an exposition of recent progress on the Donaldson¿Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi¿Yau 3-folds. Later, it turned out that the DT invariants have many interesting properties and appear in several contexts such as the Gromov¿Witten/Donaldson¿Thomas conjecture on curve-counting theories, wall-crossing in derived categories with respect to Bridgeland stability conditions, BPS state counting in string theory, and others.

Recently, a deeper structure of the moduli spaces of coherent sheaves on Calabi¿Yau 3-folds was found through derived algebraic geometry. These moduli spaces admit shifted symplectic structures and the associated d-critical structures, which lead to refined versions of DT invariants such as cohomological DT invariants. The idea of cohomological DT invariants led to a mathematical definition of the Gopakumar¿Vafa invariant, which was firstproposed by Gopakumar¿Vafa in 1998, but its precise mathematical definition has not been available until recently.
This book surveys the recent progress on DT invariants and related topics, with a focus on applications to curve-counting theories.

Informacija

Autorius: Yukinobu Toda
Serija: SpringerBriefs in Mathematical Physics
Leidėjas: Springer Nature Singapore
Išleidimo metai: 2021
Knygos puslapių skaičius: 112
ISBN-10: 9811678375
ISBN-13: 9789811678370
Formatas: 235 x 155 x 7 mm. Knyga minkštu viršeliu
Kalba: Anglų

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