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Hanke
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151	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
152	HOMOTOPY GROUPS OF THE MODULI SPACE OF METRICS OF POSITIVE SCALAR CURVATURE BORIS BOTVINNIK, BERNHARD HANKE, THOMAS SCHICK, AND MARK WALSH Abstract. We show by explicit examples that in many degrees in a stable range the Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:00 Mathematical physics Algebraic topology Differential topology Lemmas Morse theory Surgery theory Moduli space Differentiable manifold Diffeomorphism Abstract algebra Topology Mathematics
153	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
154	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
155	REALIZATION OF EQUIVARIANT CHAIN COMPLEXES BERNHARD HANKE A BSTRACT. We discuss a question appearing in a recent article by A. Sikora [4] concerning the vanishing of certain differentials in the LeraySerre spectral seque Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 Algebra Homotopy theory Group theory Spectral sequences Serre spectral sequence Sheaf Homotopy group CW complex Atiyah–Singer index theorem Abstract algebra Topology Algebraic topology
156	POSITIVE SCALAR CURVATURE WITH SYMMETRY BERNHARD HANKE A BSTRACT. We show an equivariant bordism principle for constructing metrics of positive scalar curvature that are invariant under a given group action. Furthermore, Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:03 Differential topology Differential geometry Geometric topology Curvature Surgery theory Differentiable manifold Classification of manifolds Connection Riemannian manifold Topology Mathematical analysis Mathematics
157	COARSE TOPOLOGY, ENLARGEABILITY, AND ESSENTIALNESS B. HANKE, D. KOTSCHICK, J. ROE, AND T. SCHICK A BSTRACT. Using methods from coarse topology we show that fundamental classes of closed enlargeable manifolds map non-triv Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 K-theory Differential topology Algebraic topology Geometric topology Surgery theory Differentiable manifold Atiyah–Singer index theorem Baum–Connes conjecture Degree of a continuous mapping Topology Mathematics Abstract algebra
158	THE SPACE OF METRICS OF POSITIVE SCALAR CURVATURE BERNHARD HANKE, THOMAS SCHICK, AND WOLFGANG STEIMLE A BSTRACT. We study the topology of the space of positive scalar curvature metrics on high dimensional spheres and oth Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2014-02-12 16:49:09 Differential topology Curvature Differential geometry Algebraic topology Mathematical physics Sectional curvature Diffeomorphism Differentiable manifold Principal bundle Topology Mathematics Geometry
159	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
160	POSITIVE SCALAR CURVATURE, K-AREA AND ESSENTIALNESS BERNHARD HANKE A BSTRACT. The Lichnerowicz formula yields an index theoretic obstruction to positive scalar curvature metrics on closed spin manifolds. The most general Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:36:21 Curvature Differential geometry Differential topology Geometric topology Riemannian geometry Differentiable manifold Ricci curvature Sectional curvature Surgery theory Topology Mathematical analysis Geometry

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