Geometry and topology

Results: 938



#Item
561Connection / Differential topology / Fiber bundles / Vector bundles / Connection form / Curvature / Tangent bundle / Spherical coordinate system / Frame bundle / Topology / Mathematical analysis / Differential geometry

Week 6 (due Feb[removed]Problem 6.8 in Morita. 2. Consider a unit sphere S 2 in R3 . The tangent bundle to R3 is trivial and one can define a connection on it by letting ∇

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Source URL: www.theory.caltech.edu

Language: English - Date: 2009-02-12 15:45:18
562Fractals / Topology / Triangle geometry / Curves / Topological spaces / Sierpinski triangle / Koch snowflake / Triangle / Collatz conjecture / Geometry / Triangles / Mathematics

Iteration Lesson 1 of 6, work individually or in pairs This set of lessons will help you learn about iteration (it-er-A-shun). This is where you repeat a process, and the answer to the first step is the

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Source URL: math.schaubroeck.net

Language: English - Date: 2012-05-31 11:44:00
563Algebraic topology / Homology theory / Algebraic geometry / Hodge theory / Motive / Hodge structure / Cohomology / Duality / Spectral sequence / Abstract algebra / Algebra / Homological algebra

FRAMINGS FOR GRAPH HYPERSURFACES FRANCIS BROWN AND DZMITRY DORYN Abstract. We present a method for computing the framing on the cohomology of graph hypersurfaces defined by the Feynman differential form. This answers a q

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Source URL: www.ihes.fr

Language: English - Date: 2013-08-03 05:44:03
564Abstract algebra / Fiber bundles / Differential topology / Connection / Group actions / Principal bundle / Vector bundle / Normal distribution / Hilbert scheme / Topology / Differential geometry / Mathematical analysis

Proc. Indian Acad. Sci. (Math. Sci.) Vol. 124, No. 3, August 2014, pp. 315–332. c Indian Academy of Sciences  Schematic Harder–Narasimhan stratification for families of principal bundles and -modules

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Source URL: www.ias.ac.in

Language: English - Date: 2014-08-22 07:31:23
565Differential geometry / Algebraic topology / Group theory / Mathematical structures / Lie groups / Simplicial complex / Symmetric space / Generalized flag variety / Grassmannian / Algebra / Abstract algebra / Mathematics

Contents[removed] Preliminary notes on building and loops for a compact, 1-connected symmetric space. The loop space of a symmetric space. Buildings and the loop space of a Lie group[removed]Notes on building and

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Source URL: www.claymath.org

Language: English - Date: 2014-04-29 09:28:40
566Connection / Fiber bundles / Principal bundle / Differential form / Curvature form / Holonomy / Cartan connection / Mathematical analysis / Differential geometry / Topology

Week 8 (due March[removed]Let G be a Lie group, P be a principal G-bundle over a manifold M , and H be a connection on P (i.e. a field of horizontal subspaces on P equivariant with respect to the right action of G). Let F

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Source URL: www.theory.caltech.edu

Language: English - Date: 2009-02-26 02:31:42
567Homotopy theory / Homological algebra / Fields Medalists / Algebraic topology / Nicolas Bourbaki / Daniel Quillen / K-theory / Cyclic homology / Cohomology / Abstract algebra / Topology / Mathematics

Daniel Quillen Daniel Quillen, 1940–2011, Fields Medalist, transformed many aspects of algebra, geometry, and topology. Especially in a succession of remarkable papers during the ten-year period of 1967–1977, Quille

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Source URL: www.ams.org

Language: English - Date: 2012-10-03 16:22:11
568Education / Möbius strip / Topology / Geometric topology / Moebius / Mobius Band / 2-sided / National Council of Teachers of Mathematics / GDI characters of Command & Conquer / Mathematics / Geometry / Surfaces

Teacher Guide for Mobius Band Special notes and timing This lesson has been successfully tested with talented 2nd-graders. The time for students to complete all 4 lessons is[removed]minutes.

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Source URL: math.schaubroeck.net

Language: English - Date: 2012-05-07 17:58:35
569Differential geometry / Connection / Differential topology / Fiber bundles / Linear algebra / Almost complex manifold / Riemannian manifold / Vector space / Lie derivative / Algebra / Mathematical analysis / Mathematics

Proc. Indian Acad. Sci. (Math. Sci.) Vol. 124, No. 3, August 2014, pp. 427–436. c Indian Academy of Sciences  Geometry of the cotangent bundle with Sasakian metrics and its applications

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Source URL: www.ias.ac.in

Language: English - Date: 2014-08-22 07:31:29
570Manifolds / Differential topology / Differential geometry / Riemannian geometry / Submanifold / Chuu-Lian Terng / Isoparametric manifold / Hilbert manifold / Geometry and topology / Topology / Mathematical analysis / Mathematics

Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann Subseries: Nankai Institute of Mathematics, (Tianjin, P. R. China) vol. 7

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Source URL: rsp.math.brandeis.edu

Language: English - Date: 2007-04-19 03:35:50
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