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Differentiable manifold
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81	DIFFERENTIAL GEOMETRY ´ FINNUR LARUSSON Lecture notes for an honours course at the University of Adelaide Contents Add to Reading List Source URL: www.maths.adelaide.edu.au Language: English - Date: 2010-05-02 22:39:32 Differential topology Differential geometry Generalizations of the derivative Differential calculus Inverse functions Diffeomorphism Differentiable manifold Inverse function theorem Tangent space Mathematical analysis Mathematics Calculus
82	DISSOLVING FOUR-MANIFOLDS AND POSITIVE SCALAR CURVATURE B. HANKE, D. KOTSCHICK, AND J. WEHRHEIM A BSTRACT. We prove that many simply connected symplectic fourmanifolds dissolve after connected sum with only one copy of S Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 Geometry Differential geometry 4-manifolds Complex manifolds Manifold Differentiable manifold Seiberg–Witten invariant Symplectic sum Symplectic geometry Topology Geometric topology Differential topology
83	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
84	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
85	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
86	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
87	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
88	HasselblattPesinSchmelingOW.dvi Add to Reading List Source URL: www.mfo.de Language: English - Date: 2010-11-11 10:38:01 Continuous function Differentiable manifold Diffeomorphism Fourier analysis Joseph Fourier Functional analysis Spectral theory of ordinary differential equations Orbifold Mathematical analysis Mathematics Calculus
89	General Relativity HS 08 G.M. Graf ETH Z¨ urich Add to Reading List Source URL: www.itp.phys.ethz.ch Language: English - Date: 2013-02-26 11:37:00 Mathematics Differential topology Connection Lie derivative Tensor field Differentiable manifold Torsion tensor Equations of motion Differential form Mathematical analysis Differential geometry Algebra
90	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

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