Twists of K-theory and TMF

Details Twists of K-theory and TMF Twists of K-theory and TMF

2010-02-16

arxiv.org/abs/1002.3004v2

Mathematics

Algebraic Topology

Scientific paper

We explore an approach to twisted generalized cohomology from the point of view of stable homotopy theory and quasicategory theory provided by arXiv:0810.4535. We explain the relationship to the twisted K-theory provided by Fredholm bundles. We show how our approach allows us to twist elliptic cohomology by degree four classes, and more generally by maps to the four-stage Postnikov system BO<0...4>. We also discuss Poincare duality and umkehr maps in this setting.

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