103 citations · 370 across the 40 of their papers we have counts for
41 papers
Index and small bundle gerbes
Varghese Mathai, Richard B. Melrose
By a small bundle gerbe we mean a bundle gerbe in the sense of Murray defined on a smooth, finite-dimensional, fibre bundle over a manifold. We construct such gerbes over compact o…
Equivariant K-theory and Resolution II: Non-Abelian actions
Panagiotis Dimakis, Richard Melrose
The smooth action of a compact Lie group on a compact manifold can be resolved to an iterated space, as made explicit by Pierre Albin and the second author. On the resolution the l…
Compactification of semi-simple Lie groups
Pierre Albin, Panagiotis Dimakis, Richard Melrose +1
We discuss the `hd-compactification' of a semi-simple Lie group to a manifold with corners; it is the real analog of the wonderful compactification of deConcini and Procesi. There…
Bigerbes
Chris Kottke, Richard B. Melrose
The bigerbes introduced here give a refinement of the notion of 2-gerbes, representing degree four integral cohomology classes of a space. Defined in terms of bisimplicial line bun…
Compactification of SL(2)
Pierre Albin, Panagiotis Dimakis, Richard Melrose
We discuss `hd-compactifications' of $\SL(2,\bbK)$ for $\bbK=\bbC$ or These are compact manifolds with boundary on which both the Schwartz and the Harish-Chandra Schwartz s…
Equivariant K-theory and Resolution I: Abelian actions
Panagiotis Dimakis, Richard Melrose
The smooth action of a compact Lie group on a compact manifold can be resolved to an iterated space, as made explicit by Pierre Albin and the second author. On the resolution the l…