A theory of generalized Donaldson-Thomas invariants / / Dominic Joyce, Yinan Song

• Record Nr.: UNINA9910480646003321
• Autore: Joyce Dominic D.
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2012; ©2012
• ISBN: 0-8218-8752-1
• Descrizione fisica: 1 online resource (199 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 217, Number 1020
• Disciplina: 516.3/52
• Soggetti: Donaldson-Thomas invariants; Calabi-Yau manifolds; Sheaf theory; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "May 2012, Volume 217, Number 1020 (second of 4 numbers)."
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""5.4. Invariants ^{\ , }( â€?) counting stable pairs, and deformation-invariance of the ^{\ }( )""""Chapter 6. Examples, applications, and generalizations""; ""6.1. Computing ^{ , }( â€?), ^{ }( ) and ^{ }( ) in examples""; ""6.2. Integrality properties of the ^{ }( )""; ""6.3. Counting dimension zero sheaves""; ""6.4. Counting dimension one sheaves""; ""6.5. Why it all has to be so complicated: an example""; ""6.6. -stability and invariants ^{ }( )""; ""6.7. Extension to noncompact Calabiâ€?Yau 3-folds""; ""6.8. Configuration operations and extended Donaldsonâ€?Thomas invariants""""Chapter 7. Donaldsonâ€?Thomas theory for quivers with superpotentials""; ""7.1. Introduction to quivers""; ""7.2. Quivers with superpotentials, and 3-Calabiâ€?Yau categories""; ""7.3. Behrend function identities, Lie algebra morphisms, and Donaldsonâ€?Thomas type invariants""; ""7.4. Pair invariants for quivers""; ""7.5. Computing ^{ }_{ , }( ), ^{ }_{ , }( ) in examples""; ""7.6. Integrality of ^{ }_{ }( ) for generic ( ,â??,â©?)""; ""Chapter 8. The proof of Theorem 5.3""; ""Chapter 9. The proofs of Theorems 5.4 and 5.5""