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Twists of K-theory and TMF

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arxiv 1002.3004 v2 pith:UYEPGKNN submitted 2010-02-16 math.AT

Matthew Ando , Andrew J. Blumberg , David Gepner This is my paper · ORCID
classification math.AT
keywords approachcohomologyk-theorymapsprovidedtheorytwistedallows
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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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  1. Six-dimensional gauge theories and (twisted) generalized cohomology

    hep-th 2019-08 conditional novelty 6.0 of 10

    Combining an abelianized Yang-Mills field with its dual in 6D N=(1,0) supergravity yields a class in twisted K-theory, with the B-field as twist.

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