03084nam 2200589 450 991048104760332120170816143341.01-4704-0491-5(CKB)3360000000465071(EBL)3114203(SSID)ssj0000889093(PQKBManifestationID)11502920(PQKBTitleCode)TC0000889093(PQKBWorkID)10875532(PQKB)11027211(MiAaPQ)EBC3114203(PPN)195417763(EXLCZ)99336000000046507120150417h20072007 uy 0engur|n|---|||||txtccrNoncommutative Maslov index and Eta-forms /Charlotte WahlProvidence, Rhode Island :American Mathematical Society,2007.©20071 online resource (130 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 189, Number 887'Volume 189, Number 887 (last of 4 numbers)."0-8218-3997-7 Includes bibliographical references.""Contents""; ""Introduction""; ""Summary""; ""Notation and conventions""; ""Chapter 1. Preliminaries""; ""1.1. The geometric situation""; ""1.2. The family index theorem""; ""1.3. The algebra of differential forms""; ""1.4. Lagrangian projections""; ""Chapter 2. The Fredholm Operator and Its Index""; ""2.1. The operator D on M""; ""2.2. The operator D[sub(1)] on [0,1]""; ""2.3. The operator D[sub(z)] on the cylinder""; ""2.4. The index of D[sub(+)]""; ""2.5. A perturbation with closed range""; ""Chapter 3. Heat Semigroups and Kernels""; ""3.1. Complex heat kernels""""3.2. The heat semigroup on closed manifolds""""3.3. The heat semigroup on [0,1]""; ""3.4. The heat semigroup on the cylinder""; ""3.5. The heat semigroup on M""; ""Chapter 4. Superconnections and the Index Theorem""; ""4.1. The superconnection A[sup(I)][sub(1)] associated to D[sub(1)]""; ""4.2. The superconnection associated to D[sub(z)]""; ""4.3. The superconnection A(Ï?[sub(t)] associated to D[sub((Ï?))]""; ""4.4. The index theorem and its proof""; ""4.5. A gluing formula for η-forms on S[sup(1)]""; ""Chapter 5. Definitions and Techniques""; ""5.1. Hilbert C*â€? modules""""5.2. Operators on spaces of vector valued functions""""5.3. Projective systems and function spaces""; ""5.4. Holomorphic semigroups""; ""Bibliography""Memoirs of the American Mathematical Society ;Volume 189, Number 887.Index theory (Mathematics)Maslov indexK-theoryElectronic books.Index theory (Mathematics)Maslov index.K-theory.514/.74Wahl Charlotte1972-932713MiAaPQMiAaPQMiAaPQBOOK9910481047603321Noncommutative Maslov index and Eta-forms2099121UNINA