Twisted K-theory and Poincare duality
Jean-Louis Tu
TL;DR
This paper extends Poincare duality to twisted K-theory using KK-theory methods, broadening the mathematical understanding of duality in the context of twisted K-theoretic frameworks.
Contribution
It introduces a generalization of Poincare duality within twisted K-theory utilizing KK-theory techniques, which is a novel theoretical development.
Findings
Established a KK-theoretic framework for twisted K-theory duality
Generalized classical Poincare duality to twisted K-theoretic setting
Provides foundational tools for further research in twisted K-theory
Abstract
Using methods of KK-theory, we generalize Poincare duality to the framework of twisted K-theory.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra