103 citations · 370 across the 40 of their papers we have counts for
22 papers · 1 filter
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…
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…
Boundary behaviour of Weil-Petersson and fiber metrics for Riemann moduli spaces
Richard Melrose, Xuwen Zhu
The Weil-Petersson and Takhtajan-Zograf metrics on the Riemann moduli spaces of complex structures for an -fold punctured oriented surface of genus in the stable range $g+2…
Resolution of the canonical fiber metrics for a Lefschetz fibration
Richard Melrose, Xuwen Zhu
We consider the family of constant curvature fiber metrics for a Lefschetz fibration with regular fibers of genus greater than one. A result of Obitsu and Wolpert is refined by sho…
Equivalence of string and fusion loop-spin structures
Chris Kottke, Richard Melrose
The importance of the fusion relation of loops was recognized in the context of spin structures on the loop space by Stolz and Teichner and further developed by Waldorf. On a spin…
Geometry of Pseudodifferential algebra bundles and Fourier Integral Operators
Varghese Mathai, R. B. Melrose
We study the geometry and topology of (filtered) algebra-bundles over a smooth manifold with typical fibre , the algebra of classical…