Browsing by Author "Hopkins, Michael"
Now showing items 1-3 of 3
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Goodwillie Approximations to Higher Categories
Heuts, Gijsbert (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 ... -
Structures on Forms of K-Theory
Sia, Charmaine Jia Min (2015-05-13)In the early 1970s, Morava studied forms of topological K-theory and observed that they have interesting number theoretic connections. Until very recently, forms of K-theory have not been studied in greater depth and ... -
Topological Quantum Field Theories from Compact Lie Groups
Freed, Daniel; Hopkins, Michael J.; Lurie, Jacob Alexander; Teleman, Constantin (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 ...