03099nam 2200601 450 991048064600332120180613001258.00-8218-8752-1(CKB)3360000000464080(EBL)3114420(SSID)ssj0000889262(PQKBManifestationID)11478763(PQKBTitleCode)TC0000889262(PQKBWorkID)10876279(PQKB)11557243(MiAaPQ)EBC3114420(PPN)19541909X(EXLCZ)99336000000046408020150416h20122012 uy 0engur|n|---|||||txtccrA theory of generalized Donaldson-Thomas invariants /Dominic Joyce, Yinan SongProvidence, Rhode Island :American Mathematical Society,2012.©20121 online resource (199 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 217, Number 1020"May 2012, Volume 217, Number 1020 (second of 4 numbers)."0-8218-5279-5 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;Volume 217, Number 1020.Donaldson-Thomas invariantsCalabi-Yau manifoldsSheaf theoryElectronic books.Donaldson-Thomas invariants.Calabi-Yau manifolds.Sheaf theory.516.3/52Joyce Dominic D.66989Song Yinan1977-MiAaPQMiAaPQMiAaPQBOOK9910480646003321A theory of generalized Donaldson-Thomas invariants2113202UNINA