Now showing items 1-6 of 6

• #### Elliptic Cohomology I: Spectral Abelian Varieties ﻿

(2017-11-29)
• #### Equivariant Weiss Calculus and Loops of Stiefel Manifolds ﻿

(2016-05-18)
In the mid 1980s, Steve Mitchell and Bill Richter produced a filtration of the Stiefel manifolds O(V ;W) and U(V ;W) of orthogonal and unitary, respectively, maps V -> V ⊕W stably split as a wedge sum of Thom spaces defined ...
• #### Goodwillie Approximations to Higher Categories ﻿

(2015-05-14)
Goodwillie calculus involves the approximation of functors between higher categories by so-called polynomial functors. We show (under mild hypotheses) how to associate to a higher category C a Goodwillie tower, consisting ...
• #### The mod 2 homology of free spectral Lie algebras ﻿

(2015-05-14)
The Goodwillie derivatives of the identity functor on pointed spaces form an operad ∂(Id) in spectra. We compute the mod 2 homology of free algebras for this operad on suspension spectra of simply-connected spaces.
• #### A Survey of Elliptic Cohomology ﻿

(Springer, 2009)
• #### Topological Quantum Field Theories from Compact Lie Groups ﻿

(American Mathematical Society, 2010)
It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is ...