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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aNoncommutative Maslov index and Eta-forms /$fCharlotte Wahl
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2007.
210  4$dİ2007
215   $a1 online resource (130 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 189, Number 887
300   $a'Volume 189, Number 887 (last of 4 numbers)."
311   $a0-8218-3997-7 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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(I??[sub(t)] associated to D[sub((I??))]""; ""4.4. The index theorem and its proof""; ""4.5. A gluing formula for I?·-forms on S[sup(1)]""; ""Chapter 5. Definitions and Techniques""; ""5.1. Hilbert C*a??? modules""
327   $a""5.2. Operators on spaces of vector valued functions""""5.3. Projective systems and function spaces""; ""5.4. Holomorphic semigroups""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 189, Number 887.
606   $aIndex theory (Mathematics)
606   $aMaslov index
606   $aK-theory
608   $aElectronic books.
615  0$aIndex theory (Mathematics)
615  0$aMaslov index.
615  0$aK-theory.
676   $a514/.74
700   $aWahl$b Charlotte$f1972-$0932713
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910481047603321
996   $aNoncommutative Maslov index and Eta-forms$92099121
997   $aUNINA