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

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

• Mathematics
• Differential topology
• Characteristic classes
• Stiefel–Whitney class
• Thom space
• Vector bundle
• Surgery theory
• Cobordism
• Cup product
• Topology
• Abstract algebra
• Algebraic topology

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

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

• Connection
• Operator theory
• Fiber bundles
• Differential topology
• Holonomy
• Connection form
• Vector bundle
• Chern class
• Compact operator
• Mathematical analysis
• Topology
• Differential geometry

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

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

• Algebraic topology
• Differential topology
• Fiber bundles
• Homotopy theory
• Group actions
• Degree of a continuous mapping
• Vector bundle
• Sheaf
• Cohomology
• Abstract algebra
• Topology
• Algebra

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

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

• Geometry
• Differential geometry
• 4-manifolds
• Complex manifolds
• Manifold
• Differentiable manifold
• Seiberg–Witten invariant
• Symplectic sum
• Symplectic geometry
• Topology
• Geometric topology
• Differential topology

´ 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

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

• Algebraic 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

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

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

• Homotopy theory
• Fiber bundles
• Differential topology
• Surgery theory
• Cobordism
• Connection
• Thom space
• Universal bundle
• Representation theory
• Topology
• Abstract algebra
• 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

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

• Algebra
• Homotopy theory
• Group theory
• Spectral sequences
• Serre spectral sequence
• Sheaf
• Homotopy group
• CW complex
• Atiyah–Singer index theorem
• Abstract algebra
• Topology
• Algebraic topology

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

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

• 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

Titel: Referent: HD- Mündliche Prüfungen Frau Dr. Ulrike Hanke

Source URL: ulrike-hanke.de

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

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

• Algebraic topology
• Fiber bundles
• Differential topology
• Differential geometry
• Connection
• Vector bundle
• Connection form
• Holonomy
• Tangent space
• Topology
• Mathematical analysis
• Mathematics