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Bundle theory
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211	Week 1 (due April[removed]As was explained during the winter quarter, to any line bundle (complex vector bundle of rank one) on a manifold M one can associate its first Chern class which takes values in H 2 (M, Z), and two Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-04-01 22:32:01 Algebraic topology Differential topology Characteristic classes Homotopy theory Chern class Line bundle Vector bundle Stiefel–Whitney class Circle bundle Topology Abstract algebra Mathematics
212	THE GEOMETRIZATION OF PHYSICS RICHARD S. PALAIS June-July, 1981 LECTURE NOTES IN MATHEMATICS Add to Reading List Source URL: rsp.math.brandeis.edu Language: English - Date: 2007-02-15 15:04:23 Quantum field theory Theoretical physics Particle physics Kaluza–Klein theory Instanton Yang–Mills theory Principal bundle Physics Differential geometry Gauge theories
213	Clay Mathematics Proceedings Volume 14 Grassmannians, Moduli Spaces and Vector Bundles Clay Mathematics Institute Workshop Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-04 05:55:00 Moduli theory Vector bundles Invariant theory Differential topology Moduli space Moduli of algebraic curves Michael Atiyah Geometric invariant theory Ample line bundle Abstract algebra Algebraic geometry Topology
214	Week 4 (due April[removed]The Todd genus is the Chern genus corresponding to the analytic function f (z) = z/(ez − 1). Express the Todd genus in terms of Chern classes up to and including terms of cohomological degree 6 Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-04-23 15:07:06 Mathematics Algebraic topology Differential geometry Characteristic classes Fiber bundles Chern class Vector bundle Connection form Connection Topology Abstract algebra Differential topology
215	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 ∇ Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-02-12 15:45:18 Connection Differential topology Fiber bundles Vector bundles Connection form Curvature Tangent bundle Spherical coordinate system Frame bundle Topology Mathematical analysis Differential geometry
216	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 Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-02-26 02:31:42 Connection Fiber bundles Principal bundle Differential form Curvature form Holonomy Cartan connection Mathematical analysis Differential geometry Topology
217	Thmtools Users’ Guide Dr. Ulrich M. Schwarz – [removed]∗ [removed]v66 Abstract The thmtools bundle is a collection of packages that is designed to provide an easier interface to theorems, and Add to Reading List Source URL: piotrkosoft.net Language: English - Date: 2014-04-21 14:25:19 Prime number Number theory Theorem Euclid Mathematics Logic Integer sequences
218	Latent Variable Copula Inference for Bundle Pricing from Retail Transaction Data Benjamin Letham BLETHAM @ MIT. EDU Operations Research Center, Massachusetts Institute of Technology, 77 Mass. Ave., Cambridge, MA[removed]US Add to Reading List Source URL: jmlr.org Language: English - Date: 2014-02-16 19:30:21 Statistical dependence Business Statistical theory Copula Product bundling Maximum likelihood Pricing Likelihood function Correlation and dependence Statistics Estimation theory Marketing
219	Contents[removed]January 1974: The stability problem for GL(k), k = Fq . January 3: Stability proofs. January 4: 2-planes and bouquets of spheres. January 6, 7: More stability. Add to Reading List Source URL: www.claymath.org Language: English - Date: 2014-04-29 09:28:25 Algebraic topology Group theory Vectors Projective geometry K-theory Grassmannian Topological K-theory Elliptic curve Vector bundle Algebra Abstract algebra Mathematics
220	To appear in Proceedings of CVPR[removed]Automatic Recovery of Relative Camera Rotations for Urban Scenes Matthew E. Antone Seth Teller† Computer Graphics Group MIT Laboratory for Computer Science Add to Reading List Source URL: groups.csail.mit.edu Language: English - Date: 2005-05-04 10:43:04 Image processing Vision Bundle adjustment Photogrammetry Surveying Hough transform Maximum likelihood Orientation Expectation–maximization algorithm Computer vision Statistics Estimation theory

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