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Homotopy theory
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581	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2014-03-07 10:17:09 Algebraic topology Algebra Homotopy theory Fiber bundles Vector bundles Étale morphism Section Line bundle Proj construction Topology Abstract algebra Differential topology
582	A PROOF OF THE BOREL-WEIL-BOTT THEOREM JACOB LURIE The aim of this note is to provide a quick proof of the Borel-Weil-Bott theorem, which describes the cohomology of line bundles on flag varieties. Let G denote a reducti Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2012-12-07 11:55:59 Representation theory of Lie groups Algebraic topology Vector bundles Differential topology Homotopy theory Borel–Weil–Bott theorem Weight Line bundle Fiber bundle Abstract algebra Topology Algebra
583	PDF Document Add to Reading List Source URL: www.ayasdi.com Language: English - Date: 2013-01-14 13:04:33 General topology Topological spaces Homotopy theory Data analysis Abstract simplicial complex Cluster analysis Filter Simplicial complex Betti number Topology Mathematics Algebraic topology
584	(∞, 2)-Categories and the Goodwillie Calculus I October 8, 2009 Contents 1 Complete Segal Spaces Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2009-10-08 17:39:25 Mathematics Simplicial set Nerve Functor Model category Natural transformation Adjoint functors Groupoid Homotopy category Abstract algebra Category theory Homotopy theory
585	Introduction The following thesis plays a central role in deformation theory: (∗) If X is a moduli space over a field k of characteristic zero, then a formal neighborhood of any point x ∈ X is controlled by a differe Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2010-03-11 19:03:04 Category theory Scheme theory Homotopy theory Algebraic structures Ring theory Functor Moduli space Scheme Adjoint functors Abstract algebra Algebra Mathematics
586	Ambidexterity in K(n)-Local Stable Homotopy Theory Michael Hopkins and Jacob Lurie December 19, 2013 Contents 1 Multiplicative Aspects of Dieudonne Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-12-19 12:27:06 Algebras Hopf algebras Representation theory Algebraic groups Monoidal categories Associative algebra Coalgebra Formal group Group scheme Abstract algebra Algebra Mathematics
587	Derived Algebraic Geometry XIII: Rational and p-adic Homotopy Theory December 15, 2011 Contents 1 Rational Homotopy Theory Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-12-15 13:59:34 Mathematics Rational homotopy theory Homotopy Functor Nerve CW complex Adjoint functors Finite topological space Triangulated category Topology Abstract algebra Homotopy theory
588	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2010-02-04 13:54:29 Mathematics Differential topology Homotopy theory Characteristic classes Vector bundles Complex cobordism Classifying space for U Thom space Spectrum Topology Abstract algebra Algebraic topology
589	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2009-03-16 10:58:08 Differential topology Algebraic topology Homotopy Fiber bundle Surgery exact sequence Mapping class group Topology Homotopy theory Surgery theory
590	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2010-04-27 14:58:02 Ring theory Algebraic topology Commutative algebra Algebraic structures Complex cobordism Spectrum of a ring Formal group Homotopy Spectrum Abstract algebra Algebra Homotopy theory

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