27 citations · 104 across the 13 of their papers we have counts for
9 papers · 1 filter
Twisted iterated algebraic K-theory and topological T-duality for sphere bundles
John A. Lind, Hisham Sati, Craig Westerland
We introduce a periodic form of the iterated algebraic K-theory of ku, the (connective) complex K-theory spectrum, as well as a natural twisting of this cohomology theory by higher…
Topological T-duality is twisted Atiyah duality
Craig Westerland
We show that the topological T-duality for circle bundles introduced in work of Bouwknegt-Evslin-Mathai can be interpreted as a form of Atiyah duality for twisted K-theory.
A higher chromatic analogue of the image of J
Craig Westerland
We prove a higher chromatic analogue of Snaith's theorem which identifies the K-theory spectrum as the localisation of the suspension spectrum of CP^\infty away from the Bott class…
Hochschild homology of structured algebras
Nathalie Wahl, Craig Westerland
We give a general method for constructing explicit and natural operations on the Hochschild complex of algebras over any PROP with --multiplication---we think of such alg…
Twisted Morava K-theory and E-theory
Hisham Sati, Craig Westerland
For an integral cohomology class H of degree n+2 on a space X, we define twisted Morava K-theory K(n)(X; H) at the prime 2, as well as an integral analogue. We explore properties o…
The symplectic Verlinde algebras and string K-theory
Igor Kriz, Craig Westerland, Joshua T. Levin
We construct string topology operations in twisted K-theory. We study the examples given by symplectic Grassmannians, computing the twisted K-theory of the loop spaces of quaternio…