How analysis and topology interact in bivariant K-theory Ralf Meyer VASBI ICM Satellite Conference on K-theory and Noncommutative Geometry

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• Homotopy theory
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• Universal bundle
• Equivalence of categories
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• Abstract algebra
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• Algebraic topology

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COMPACTIFICATION OF THE UNIVERSAL PICARD OVER THE MODULI OF STABLE CURVES TYLER J. JARVIS A. This article provides two different, but closely related, moduli problems, which in characteristic zero pr

Source URL: math.byu.edu

• Moduli space
• Algebraic stack
• Ample line bundle
• Sheaf
• Compactification
• Modular curve
• Proper morphism
• Torsion tensor
• Algebraic space
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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
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• Mathematical analysis
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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
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• Surgery theory
• Cobordism
• Connection
• Thom space
• Universal bundle
• Representation theory
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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
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