112 research outputs found
Twists of K-theory and TMF
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. We also discuss Poincare duality and umkehr maps in
this setting
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