Geometry and topology

Results: 938



#Item
391Geometry / Differential geometry / 4-manifolds / Complex manifolds / Manifold / Differentiable manifold / Seiberg–Witten invariant / Symplectic sum / Symplectic geometry / Topology / Geometric topology / Differential topology

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

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Source URL: www.math.uni-augsburg.de

Language: English - Date: 2013-12-05 22:03:01
392Connection / Operator theory / Fiber bundles / Differential topology / Holonomy / Connection form / Vector bundle / Chern class / Compact operator / Mathematical analysis / Topology / Differential geometry

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

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Source URL: www.math.uni-augsburg.de

Language: English - Date: 2013-12-05 22:03:00
393Differential topology / Curvature / Differential geometry / Algebraic topology / Mathematical physics / Sectional curvature / Diffeomorphism / Differentiable manifold / Principal bundle / Topology / Mathematics / Geometry

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

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Source URL: www.math.uni-augsburg.de

Language: English - Date: 2014-02-12 16:49:09
394Algebraic topology / Fiber bundles / Differential topology / Differential geometry / Connection / Vector bundle / Connection form / Holonomy / Tangent space / Topology / Mathematical analysis / Mathematics

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

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Source URL: www.math.uni-augsburg.de

Language: English - Date: 2013-12-05 22:03:01
395Curvature / Differential geometry / Differential topology / Geometric topology / Riemannian geometry / Differentiable manifold / Ricci curvature / Sectional curvature / Surgery theory / Topology / Mathematical analysis / Geometry

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

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Source URL: www.math.uni-augsburg.de

Language: English - Date: 2013-12-05 22:36:21
396Riemannian geometry / Differential topology / Differential geometry / Geometric topology / Algebraic topology / Sectional curvature / Riemannian manifold / Lipschitz continuity / Manifold / Geometry / Topology / Mathematics

LARGE AND SMALL GROUP HOMOLOGY MICHAEL BRUNNBAUER AND BERNHARD HANKE A BSTRACT. For several instances of metric largeness like enlargeability or having hyperspherical universal covers, we construct non-large vector subsp

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Source URL: www.math.uni-augsburg.de

Language: English - Date: 2013-12-05 22:03:02
397Geometric topology / Symplectic geometry / Smooth manifolds / Complex manifolds / Stein manifold / Contact geometry / Homotopy principle / Symplectic manifold / CR manifold / Topology / Mathematics / Differential topology

From Stein to Weinstein and Back Symplectic Geometry of Affine Complex Manifolds Kai Cieliebak Yakov Eliashberg ¨ t, ThereMathematisches Institut, Ludwig-Maximilians-Universita ¨ nchen, Germany

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Source URL: www.math.uni-augsburg.de

Language: English - Date: 2013-12-05 23:43:37
398Algebraic topology / Fiber bundles / Connection / Homotopy theory / Differential geometry / Vector bundle / Differentiable manifold / Holonomy / Principal bundle / Topology / Abstract algebra / Mathematical analysis

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

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Source URL: www.math.uni-augsburg.de

Language: English - Date: 2013-12-05 22:03:02
399Space / Topology / Banach fixed-point theorem / Contraction mapping / Metric space / Continuous mapping theorem / Complete metric space / Triangle inequality / Metric / Geometry / Metric geometry / Mathematics

Turkish Journal of Analysis and Number Theory, 2013, Vol. 1, No. 1, 13-16 Available online at http://pubs.sciepub.com/tjant/1/1/4 © Science and Education Publishing DOI:[removed]tjant[removed]On Some Well Known Fixed Poi

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Source URL: www.sciepub.com

Language: English
400Geometry / Architecture / Metric geometry / Urban studies and planning / Topology / Space syntax / Spatial network / Alasdair Turner / Space / Mathematics / Architectural theory / Environmental psychology

The Journal of Space Syntax Metric And Topo-Geometric Properties Of Urban Street Networks Some convergences, divergences and new results Bill Hillier, Alasdair Turner, Tao Yang and Hoon-Tae Park Bartlett School of Gradu

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Source URL: discovery.ucl.ac.uk

Language: English - Date: 2013-04-15 11:15:12
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