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Vector bundles
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111	Exercises in Differential and Riemannian Geometry Gabriele Benedetti and Giulio Codogni These are three problem sheets proposed by M. Dafermos during the course in Differential and Riemannian geometry that he gave during Add to Reading List Source URL: ricerca.mat.uniroma3.it Language: English - Date: 2014-09-04 09:00:56 Differential topology Connection Vector bundles Algebraic topology Differentiable manifold Tangent bundle Holonomy Tangent space Fiber bundle Topology Mathematical analysis Differential geometry
112	TWELVE POINTS ON THE PROJECTIVE LINE, BRANCHED COVERS, AND RATIONAL ELLIPTIC FIBRATIONS RAVI VAKIL Abstract. The following divisors in the space Sym12 P1 of twelve points on P1 are actually the same: (A) the possible loc Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:12:12 Algebraic surfaces Algebraic curves Birational geometry Vector bundles Canonical bundle Elliptic surface Del Pezzo surface Ample line bundle Riemann–Roch theorem Algebraic geometry Geometry Abstract algebra
113	RECURSIONS FOR CHARACTERISTIC NUMBERS OF GENUS ONE PLANE CURVES RAVI VAKIL Abstract. Characteristic numbers of families of maps of nodal curves to P2 are dened as Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:12:01 Differential geometry Intersection theory Vector bundles Divisor Dual curve Linear system of divisors Ample line bundle Chow ring Curve Geometry Abstract algebra Algebraic geometry
114	A TOOL FOR STABLE REDUCTION OF CURVES ON SURFACES RAVI VAKIL Abstract. In the study of the geometry of curves on surfaces, the following question often arises: given a one-parameter family of divisors over a pointed Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:12:09 Moduli theory Vector bundles Analytic number theory Elliptic curve Group theory Intersection number Curve Divisor Moduli space Abstract algebra Geometry Algebraic geometry
115	THE MODULI SPACE OF CURVES AND ITS TAUTOLOGICAL RING RAVI VAKIL The moduli space of curves has proven itself a central object in geometry. The past decade has seen substantial progress in understanding the moduli space o Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2003-03-14 11:50:44 Moduli theory Algebraic geometry Invariant theory Vector bundles Moduli space Projective geometry Moduli of algebraic curves Line bundle Algebraic stack Abstract algebra Geometry Topology
116	Riemannian Geometry Contents Chapter 1. Smooth manifolds 1. Tangent vectors, cotangent vectors and tensors 2. The tangent bundle of a smooth manifold Add to Reading List Source URL: www.math.ku.dk Language: English - Date: 2005-05-19 05:54:41 Curvature Differential topology Riemannian geometry Vector bundles Differentiable manifold Tensor field Riemannian manifold Ricci curvature Frame bundle Differential geometry Geometry Theoretical physics
117	EQUIVARIANT GYSIN MAPS AND PULLING BACK FIXED POINTS BERNHARD HANKE AND VOLKER PUPPE Dedicated to William Browder on the occasion of his 70th birthday Abstract. We develop a new approach to the pulling back fixed points Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:02 Algebraic topology Differential topology Fiber bundles Homotopy theory Group actions Degree of a continuous mapping Vector bundle Sheaf Cohomology Abstract algebra Topology Algebra
118	ENLARGEABILITY AND INDEX THEORY: INFINITE COVERS BERNHARD HANKE AND THOMAS SCHICK Abstract. In [5] we showed non-vanishing of the universal index elements in the K-theory of the maximal C ∗ -algebras of the fundamental Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:00 Connection Operator theory Fiber bundles Differential topology Holonomy Connection form Vector bundle Chern class Compact operator Mathematical analysis Topology Differential geometry
119	CYCLES, SUBMANIFOLDS, AND STRUCTURES ON NORMAL BUNDLES C. BOHR, B. HANKE, AND D. KOTSCHICK Abstract. We give explicit examples of degree 3 cohomology classes not Poincar´e dual to submanifolds, and discuss the realisabi Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:00 Mathematics Differential topology Characteristic classes Stiefel–Whitney class Thom space Vector bundle Surgery theory Cobordism Cup product Topology Abstract algebra Algebraic topology
120	ENLARGEABILITY AND INDEX THEORY B. Hanke and T. Schick Abstract Let M be a closed enlargeable spin manifold. We show nontriviality of the universal index obstruction in the K-theory of the maximal C ∗ -algebra of the f Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 Algebraic topology Fiber bundles Differential topology Differential geometry Connection Vector bundle Connection form Holonomy Tangent space Topology Mathematical analysis Mathematics