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Atiyah–Singer index theorem
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1	INDEX THEORY AND GROUPOIDS CLAIRE DEBORD AND JEAN-MARIE LESCURE Abstract. These lecture notes are mainly devoted to a proof using groupoids and KK-theory of Atiyah and Singer’s index theorem on compact smooth manifolds Add to Reading List Source URL: math.univ-bpclermont.fr Language: English - Date: 2018-03-05 11:11:23 Algebra Mathematics Abstract algebra Homotopy theory Category theory Algebraic structures Differential geometry Algebraic topology Groupoid Lie algebroid Group action Equivalence relation
2	Noncommutative geometry and reality Add to Reading List Source URL: www.alainconnes.org Language: English - Date: 2007-02-22 11:16:05 Mathematics Differential geometry Differentiable manifold Manifold Tangent space Orientability Euclidean space Tangent bundle Atiyah–Singer index theorem Topology Differential topology Mathematical analysis
3	M PRA Munich Personal RePEc Archive Notes on GEKS and RGEKS indices von der Lippe, Peter Add to Reading List Source URL: www.ottawagroup.org Language: English - Date: 2013-09-24 21:39:59 Mathematical analysis Index numbers Price index Array data structure Atiyah–Singer index theorem Consumer price index Intransitivity Statistics Price indices Econometrics
4	Spectral invariants and noncommutative geometry Masoud Khalkhali IPM, June-July 2011 Introducing metric notions such as volume and curvature into noncommutative geometry to a large degree depends, among other things, on Add to Reading List Source URL: math.ipm.ac.ir Language: English - Date: 2011-09-28 01:02:38 Differential geometry Noncommutative geometry Quantum gravity Spectral triple Gauss–Bonnet theorem Atiyah–Singer index theorem Riemannian geometry Alain Connes Spectral geometry Mathematical analysis Geometry Physics
5	Foliations, C-algebras and index theory Part III Paul Baum notes taken by: Pawel Witkowski March 15, 2006 Add to Reading List Source URL: toknotes.mimuw.edu.pl Language: English* - Date: 2006-03-15 18:41:18 Differential geometry Algebraic topology Differential topology Vector bundle Vectors Symbol Atiyah–Singer index theorem Pullback Differential form Mathematical analysis Mathematics Differential operators
6	40 Years Of the Eta Invariant A Meeting to Remember V. K. Patodi Dates: 1 – 6 August, 2015 Venue: TIFR, Mumbai Time: 11:00 – 12:00 and 4:00 – 5:00 pm Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2015-04-16 23:46:56 Vijay Kumar Patodi Atiyah–Singer index theorem Differential geometry Geometric topology Bott Michael Atiyah Manifold Topology Mathematics Mathematical analysis
7	The Index Theorem Sir Michael Atiyah Mathematics is both an Art and a Science and beauty plays an essential role, a fact recognized by all mathematicians. The great German mathematician Hermann Weyl, one of my heroes, pu Add to Reading List Source URL: www.gregkucera.com Language: English - Date: 2015-01-07 20:36:13 Number theorists Fellows of the Royal Society Differential geometers Mental calculators Knights Bachelor Michael Atiyah Hermann Weyl Atiyah–Singer index theorem Vijay Kumar Patodi Royal Society Mathematics Academia
8	VON DER LIPPE: HANDOUTS FOR THE MEDSTAT - COURSE ON INDEX THEORY AND PRICE STATISTICS 36 Chapter 3 Axioms and more index formulas 3.1. The axiomatic approach, some theorems and fundamental axioms Add to Reading List Source URL: www.von-der-lippe.org Language: English - Date: 2014-01-02 06:59:37 Price index Real versus nominal value Atiyah–Singer index theorem Exponentiation Mean Mathematical analysis Statistics Mathematics
9	Unit Value Bias Reconsidered Price and Unit Value Indices in Germany 11th Meeting of the International Working Group on Price Indices (The Ottawa Group), Neuchâtel, SwitzerlandMay 2009 Peter M. von der Lippe Univ Add to Reading List Source URL: www.von-der-lippe.org Language: English - Date: 2014-01-02 07:07:30 Econometrics Price index Real versus nominal value Price indices Index Étienne Laspeyres Forward contract Atiyah–Singer index theorem Economics Terminology Statistics
10	arXiv:math/0701484v4 [math.KT] 22 Mar 2009 Add to Reading List Source URL: arxiv.org Language: English Algebraic topology Fiber bundles K-theory Differential operators Differential topology Atiyah–Singer index theorem K-homology Connection Dirac operator Topology Mathematical analysis Mathematics