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Atiyah–Singer index theorem
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21	ELLIPTIC SPECTRA, THE WITTEN GENUS AND THE THEOREM OF THE CUBE M. ANDO, M. J. HOPKINS, AND N. P. STRICKLAND Contents 1. Introduction Add to Reading List Source URL: www.math.rochester.edu Language: English - Date: 2004-04-28 11:11:11 Algebraic topology Cohomology theories Analytic number theory Algebraic groups Elliptic cohomology Elliptic curve Topological modular forms Atiyah–Singer index theorem Modular form Abstract algebra Algebra Mathematics
22	The Geometry and Topology of Orientifolds II Dan Freed University of Texas at Austin May 21, 2009 Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2009-05-21 23:23:19 Algebraic topology Homotopy theory Homological algebra Sheaf theory Category theory Groupoid Cohomology Covering space Atiyah–Singer index theorem Abstract algebra Topology Mathematics
23	REALIZATION OF EQUIVARIANT CHAIN COMPLEXES BERNHARD HANKE A BSTRACT. We discuss a question appearing in a recent article by A. Sikora [4] concerning the vanishing of certain differentials in the LeraySerre spectral seque Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 Algebra Homotopy theory Group theory Spectral sequences Serre spectral sequence Sheaf Homotopy group CW complex Atiyah–Singer index theorem Abstract algebra Topology Algebraic topology
24	COARSE TOPOLOGY, ENLARGEABILITY, AND ESSENTIALNESS B. HANKE, D. KOTSCHICK, J. ROE, AND T. SCHICK A BSTRACT. Using methods from coarse topology we show that fundamental classes of closed enlargeable manifolds map non-triv Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 K-theory Differential topology Algebraic topology Geometric topology Surgery theory Differentiable manifold Atiyah–Singer index theorem Baum–Connes conjecture Degree of a continuous mapping Topology Mathematics Abstract algebra
25	Codimension two index obstructions to positive scalar curvature Bernhard Hanke Daniel Pape∗ Thomas Schick† Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2014-10-26 07:59:31 Functional analysis Self-adjoint operator Hilbert space Atiyah–Singer index theorem Friedrichs extension Differentiable manifold Differential operator Adjoint functors Riemannian manifold Mathematical analysis Operator theory Mathematics
26	Introduction to KK- and E-theory Add to Reading List Source URL: oaa.ist.utl.pt Language: English - Date: 2009-06-18 12:53:36 Operator theory Fredholm theory Differential operators Linear algebra Fredholm operator Compact operator Hilbert space Atiyah–Singer index theorem Inner product space Mathematical analysis Functional analysis Algebra
27	Lectures on Operator K-Theory and the Atiyah-Singer Index Theorem Nigel Higson and John Roe Contents Add to Reading List Source URL: folk.uio.no Language: English - Date: 2004-08-20 04:11:12 Algebraic topology Characteristic classes Homology theory Differential operators Cohomology theories De Rham cohomology Hodge theory Atiyah–Singer index theorem Differentiable manifold Topology Abstract algebra Mathematics
28	BOOK REVIEWS BULLETIN (New Series) OF THE AMERICANMATHEMATICALSOCIETY Volume 28, Number 2, April 1993 ©1993 American Mathematical Society Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-03-29 15:28:16 Royal Society Differential operators Theoretical physics KK-theory Atiyah–Singer index theorem C-algebras Michael Atiyah Elliptic operator Hilbert C-module Mathematical analysis K-theory Mathematics
29	Lectures courses by Daniel G Quillen A. Topics in K-Theory and Cyclic Cohomology, Michaelmas Term[removed]pages of notes. The lecture course is concerned with the fundamental construction of cyclic cohomology, and covers Add to Reading List Source URL: www.claymath.org Language: English - Date: 2014-08-29 07:16:44 Mathematics Cyclic homology Hochschild homology Cohomology Alain Connes Noncommutative geometry Spectral sequence Atiyah–Singer index theorem Chain complex Abstract algebra Homological algebra Algebra
30	20. Elementary Indices A. Introduction 20.1 In all countries, the calculation of an output PPI proceeds in two (or more) stages. In the first stage of calculation, elementary price indices Add to Reading List Source URL: www.imf.org Language: English - Date: 2004-08-10 13:26:34 Econometrics Price indices Price index Inflation Consumer price index Real versus nominal value Törnqvist index Atiyah–Singer index theorem Economics Statistics Index numbers

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