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19982004
most citedThom Prospectra for Loopgroup representations

8 citations · 8 across the 4 of their papers we have counts for

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math.AT2004

Topological gravity in Minkowski space

Jack Morava

The two-category with three-manifolds as objects, h-cobordisms as morphisms, and diffeomorphisms of these as two-morphisms, is extremely rich; from the point of view of classical p…

math.AT20048 cited

Thom Prospectra for Loopgroup representations

Nitu Kitchloo, Jack Morava

We construct an S^1-equivariant prospectrum that models the Atiyah dual of a free loop space of a manifold. By applying a suitably completed S^1-equivariant K-theory to the Atiyah…

math.AT2002

HKR characters and higher twisted sectors

Jack Morava

This is the writeup of an expository talk. It is intended as an introduction to the work of Hopkins, Kuhn, and Ravenel on generalized group characters, which seems to fit very well…

math.AT2001

Braids, trees, and operads

Jack Morava

The space of unordered configurations of distinct points in the plane is aspherical, with Artin's braid group as its fundamental group. Remarkably enough, the space of ordered conf…

math.AT2001

Tate cohomology of circle actions as a Heisenberg group

Jack Morava

We study the Madsen-Tillman spectrum \CP^\infty_{-1} as a quotient of the Mahowald pro-object \CP^\infty_{-\infty}, which is closely related to the Tate cohomology of circle action…

math.AT2001

A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space

Matthew Ando, Jack Morava

Let E be a circle-equivariant complex-orientable cohomology theory. We show that the fixed-point formula applied to the free loopspace of a manifold X can be understood as a Rieman…