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11	Complex vector spaces, duals, and duels: Fun with a number, or two, or four Daniel Mathews December 30, 2007 Contents Add to Reading List Source URL: www.danielmathews.info Language: English - Date: 2010-04-17 22:11:18 Linear algebra Complexification Algebra over a field Dual space Vector space Complex vector bundle Linear map Inner product space Complex number Product Duality Euclidean vector
12	How analysis and topology interact in bivariant K-theory Ralf Meyer VASBI ICM Satellite Conference on K-theory and Noncommutative Geometry Add to Reading List Source URL: mate.dm.uba.ar Language: English - Date: 2006-09-11 06:47:49 Homotopy theory Homological algebra Fiber bundles K-theory Assembly map Homotopy Universal bundle Equivalence of categories Derived category Abstract algebra Topology Algebraic topology
13	VERTEX COLORINGS OF SIMPLICIAL COMPLEXES NATALIA DOBRINSKAYA, JESPER M. MØLLER, AND DIETRICH NOTBOHM Contents 1. Introduction 1.1. Notation and the basic definition Add to Reading List Source URL: www.math.ku.dk Language: English - Date: 2010-07-05 04:18:21 Algebraic topology Vectors Algebraic combinatorics Group theory Differential topology Abstract simplicial complex Simplicial map Vector bundle Stanley–Reisner ring Algebra Mathematics Abstract algebra
14	COUNTING CURVES ON RATIONAL SURFACES RAVI VAKIL Abstract. In [CH3], Caporaso and Harris derive recursive formulas counting nodal plane curves of degree d and geometric genus g in the plane (through the appropriate number Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:11:59 String theory Symplectic topology Complex manifolds Algebraic topology Stable map Gromov–Witten invariant Differential geometry of surfaces Riemann–Hurwitz formula Canonical bundle Algebraic geometry Geometry Abstract algebra
15	Journal of Machine Learning Research[removed]–∞ Submitted 0/00; Published 0/00 A Geometric View of Non-Linear On-Line Stochastic Gradient Descent Add to Reading List Source URL: users.cecs.anu.edu.au Language: English - Date: 2009-07-31 04:02:53 Differential topology Differential geometry Vector calculus Riemannian geometry Riemannian manifold Exponential map Differentiable manifold Vector field Tangent bundle Algebra Mathematics Mathematical analysis
16	GEOMETRIC VERSUS HOMOTOPY THEORETIC EQUIVARIANT BORDISM BERNHARD HANKE A BSTRACT. By results of L¨offler and Comeza˜na, the Pontrjagin-Thom map from geometric G-equivariant bordism to homotopy theoretic equivariant bor Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 Homotopy theory Fiber bundles Differential topology Surgery theory Cobordism Connection Thom space Universal bundle Representation theory Topology Abstract algebra Algebraic topology
17	THE STRONG NOVIKOV CONJECTURE FOR LOW DEGREE COHOMOLOGY BERNHARD HANKE AND THOMAS SCHICK A BSTRACT. We show that for each discrete group Γ, the rational assembly map ∗ K∗ (BΓ) ⊗ Q → K∗ (Cmax Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:02 Algebraic topology Fiber bundles Connection Homotopy theory Differential geometry Vector bundle Differentiable manifold Holonomy Principal bundle Topology Abstract algebra Mathematical analysis
18	How analysis and topology interact in bivariant K-theory Ralf Meyer VASBI ICM Satellite Conference on K-theory and Noncommutative Geometry Add to Reading List Source URL: mate.dm.uba.ar Language: English - Date: 2006-09-11 06:47:49 Homotopy theory Homological algebra Fiber bundles K-theory Assembly map Homotopy Universal bundle Equivalence of categories Derived category Abstract algebra Topology Algebraic topology
19	Tangent bundles to sub-Riemannian groups Marius Buliga Institut Bernoulli Bˆatiment MA ´ Ecole Polytechnique F´ed´erale de Lausanne Add to Reading List Source URL: www.imar.ro Language: English - Date: 2006-09-14 10:06:47 Riemannian geometry Lie groups Metric geometry Differential topology Sub-Riemannian manifold Exponential map Gromov–Hausdorff convergence Riemannian manifold Tangent bundle Geometry Mathematics Differential geometry
20	The Orbit Bundle Picture of Cotangent Bundle Reduction Jerrold E. Marsden Control and Dynamical Systems California Institute of Technology[removed]Pasadena, CA 91125 Add to Reading List Source URL: authors.library.caltech.edu Language: English - Date: 2012-12-26 07:23:42 Theoretical physics Hamiltonian mechanics Smooth manifolds Group actions Symplectic manifold Moment map Tautological one-form Symplectic vector space Poisson bracket Symplectic geometry Differential topology Physics

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