LEADER 05373nam 2200709Ia 450 001 9910784854603321 005 20200520144314.0 010 $a1-281-37900-X 010 $a9786611379001 010 $a981-277-360-6 035 $a(CKB)1000000000403435 035 $a(EBL)1681374 035 $a(OCoLC)748527948 035 $a(SSID)ssj0000102996 035 $a(PQKBManifestationID)11126839 035 $a(PQKBTitleCode)TC0000102996 035 $a(PQKBWorkID)10061461 035 $a(PQKB)11170535 035 $a(MiAaPQ)EBC1681374 035 $a(WSP)00006106 035 $a(Au-PeEL)EBL1681374 035 $a(CaPaEBR)ebr10201358 035 $a(CaONFJC)MIL137900 035 $a(PPN)168037173 035 $a(EXLCZ)991000000000403435 100 $a20060816d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aAnalysis, geometry and topology of elliptic operators$b[electronic resource] /$feditors, Bernhelm Booss-Bavnbek ... [et al.] 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2006 215 $a1 online resource (553 p.) 300 $a"On May 20-22, 2005, a workshop was held at Roskilde University in Denmark to honour Krzysztof P. Wojciechowski on his 50th birthday. This volume collects the papers of that workshop"--P. ix. 311 $a981-256-805-0 320 $aIncludes bibliographical references. 327 $aContents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories 327 $aThe Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary 327 $aEta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces 327 $aPart IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions 327 $aAn Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS 327 $aA New Spectral Cancellation in Quantum Gravity 330 $a Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics. The first of its kind, this volume is ideally suited to graduate students and researchers interested in careful expositions of newly-evolved achievem 606 $aElliptic operators 606 $aDifferential equations, Elliptic 606 $aTopology 606 $aBoundary value problems 615 0$aElliptic operators. 615 0$aDifferential equations, Elliptic. 615 0$aTopology. 615 0$aBoundary value problems. 676 $a515/.7242 701 $aBooss$b Bernhelm$f1941-$053556 701 $aWojciechowski$b Krzysztof P.$f1953-$053557 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910784854603321 996 $aAnalysis, geometry and topology of elliptic operators$93830642 997 $aUNINA