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Atiyah–Singer index theorem
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31	Chapter 1. Preface In 1963, John Milnor put forward a list of problems in geometric topology. 1. Let M 3 be a homology 3-sphere with π1 6= 0. Is the double suspension of M 3 homeomorphic to S 5 ? 2. Is simple homotopy Add to Reading List Source URL: math.rutgers.edu Language: English - Date: 2014-04-12 19:28:47 General topology Differential topology Functions and mappings Homeomorphism Embedding Topological manifold Continuous function Atiyah–Singer index theorem Torus Topology Mathematics Geometric topology
32	Around Poincare duality in discrete spaces arXiv:hep-th[removed]v1 28 Apr 2002 Alejandro Rivero∗ April 28, 2002 Add to Reading List Source URL: dftuz.unizar.es Language: English - Date: 2002-04-28 16:31:56 Hilbert space Noncommutative geometry Spectral triple Vector space Atiyah–Singer index theorem Clifford algebra Dual space Discrete space Algebra Mathematics Linear algebra
33	Discrete spectral triples converging to dirac operators. arXiv:math-ph[removed]v2 17 Mar[removed]Alejandro Rivero∗ Add to Reading List Source URL: dftuz.unizar.es Language: English - Date: 2002-03-19 08:20:39 Linear algebra Operator theory Quantum gravity Noncommutative geometry Spectral triple Atiyah–Singer index theorem Vector space Hilbert space Generalizations of the derivative Algebra Mathematics Mathematical analysis
34	Anomalies, Gauss laws, and Page charges in M-theory Gregory Moore Strings 2004, Paris Add to Reading List Source URL: www.physics.rutgers.edu Language: English - Date: 2004-07-01 02:29:10 Abstract algebra Characteristic classes Quantum field theory Gauge theory Atiyah–Singer index theorem Chern–Simons form Chern–Simons theory Physics Algebraic topology Topology
35	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
36	BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 34, Number 1, January 1997 Add to Reading List Source URL: www.ams.org Language: English - Date: 2012-06-12 18:15:56 Differential topology Algebraic topology Differential geometry Fellows of the Royal Society Knights Bachelor Michael Atiyah Atiyah–Singer index theorem Seiberg–Witten invariant Spin structure Topology Mathematics Mathematical analysis
37	BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 3, Number 1, July 1980 Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 13:29:45 Mathematical analysis Jean Dieudonné Calculus Functional analysis Mathematical logic John von Neumann Differential geometry Mathematician Atiyah–Singer index theorem Mathematics Nicolas Bourbaki Science
38	INVARIANCE THEORY, THE HEAT EQUATION, AND THE ATIYAH-SINGER INDEX THEOREM Add to Reading List Source URL: darkwing.uoregon.edu Language: English - Date: 2006-10-02 02:44:25 Differential operators Functional analysis Joseph Fourier Fourier transform Atiyah–Singer index theorem Fourier inversion theorem Heat equation Differential equation Pseudo-differential operator Mathematical analysis Fourier analysis Generalized functions
39	Pseudodifferential Operators, Corners and Singular Limits Richard B. Melrose Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:48:31 Differential operators Atiyah–Singer index theorem Vector bundle Derivative Vector space Integral Laplace operator Lie algebra Exterior derivative Mathematical analysis Mathematics Calculus
40	143 Doc. Math. J. DMV Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:55:31 Differential geometry Connection Characteristic classes Complex manifolds Fiber bundles Arakelov theory Chern class Vector bundle Atiyah–Singer index theorem Mathematical analysis Geometry Topology

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