Algebraic topology

Results: 2166



#Item
701Algebraic topology / Spectral sequence / Closed and exact differential forms / Duality / Cohomology / Vertex operator algebra / Differential form / Abstract algebra / Algebra / Mathematics

´ DUALITY AND DEFORMATIONS OF POINCARE ALGEBRAS BERNHARD HANKE Abstract. Let p be a prime number and X a finite dimensional connected Z/p-CW complex. If H ∗ (X; Fp ) is a Poincar´e duality algebra, then by a

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

Language: English - Date: 2013-12-05 22:03:00
702Algebraic topology / Differential topology / Fiber bundles / Homotopy theory / Group actions / Degree of a continuous mapping / Vector bundle / Sheaf / Cohomology / Abstract algebra / Topology / Algebra

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

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

Language: English - Date: 2013-12-05 22:03:02
703Algebraic topology / Betti number / Topological graph theory / Lefschetz fixed-point theorem / Duality / Inner product space / Representation theory of finite groups / Heat equation / Mathematics / Abstract algebra / Algebra

´ DUALITY IN P.A. SMITH THEORY POINCARE CHRISTOPHER ALLDAY, BERNHARD HANKE, AND VOLKER PUPPE Abstract. Let G = S 1 , G = Z/p or more generally G be a finite pgroup, where p is an odd prime. If G acts on a space whose co

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

Language: English - Date: 2013-12-05 22:02:12
704Mathematical physics / Algebraic topology / Differential topology / Lemmas / Morse theory / Surgery theory / Moduli space / Differentiable manifold / Diffeomorphism / Abstract algebra / Topology / Mathematics

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

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

Language: English - Date: 2013-12-05 22:03:00
705Homotopy theory / Fiber bundles / Differential topology / Surgery theory / Cobordism / Connection / Thom space / Universal bundle / Representation theory / Topology / Abstract algebra / Algebraic topology

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

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

Language: English - Date: 2013-12-05 22:03:01
706Mathematics / Differential topology / Characteristic classes / Stiefel–Whitney class / Thom space / Vector bundle / Surgery theory / Cobordism / Cup product / Topology / Abstract algebra / Algebraic topology

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

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

Language: English - Date: 2013-12-05 22:03:00
707Algebra / Homotopy theory / Group theory / Spectral sequences / Serre spectral sequence / Sheaf / Homotopy group / CW complex / Atiyah–Singer index theorem / Abstract algebra / Topology / Algebraic topology

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

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

Language: English - Date: 2013-12-05 22:03:01
708K-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

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

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

Language: English - Date: 2013-12-05 22:03:01
709Mathematics / Algebraic graph theory / Network controllability / Network science / Scale-free network / Centrality / Complex network / Network topology / Gradient network / Network theory / Graph theory / Networks

ARTICLE Received 20 Feb 2014 | Accepted 30 Sep 2014 | Published 12 Nov 2014 DOI: [removed]ncomms6415 OPEN

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Source URL: www.barabasilab.com

Language: English - Date: 2014-11-12 16:53:41
710Differential 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
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