61 citations · 154 across the 15 of their papers we have counts for
17 papers
Products of manifolds with fibered corners
Chris Kottke, Frédéric Rochon
Manifolds with fibered corners arise as resolutions of stratified spaces, in many body compactifications of vector spaces, moduli spaces, and other settings. We define a category o…
-cohomology of quasi-fibered boundary metrics
Chris Kottke, Frédéric Rochon
We develop new techniques to compute the weighted -cohomology of quasi-fibered boundary metrics (QFB-metrics). Combined with the decay of -harmonic forms obtained in a co…
Quasi-fibered boundary pseudodifferential operators
Chris Kottke, Frédéric Rochon
We develop a pseudodifferential calculus for differential operators associated to quasi-fibered boundary metrics (QFB metrics), a class of metrics including the quasi-asymptoticall…
Low energy limit for the resolvent of some fibered boundary operators
Chris Kottke, Frédéric Rochon
For certain Dirac operators associated to a fibered boundary metric , we provide a pseudodifferential characterization of the limiting behavior of as $k\…
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…
Monopoles and the Sen Conjecture: Part I
Karsten Fritzsch, Chris Kottke, Michael Singer
We describe compactifications of the moduli spaces of SU(2) monopoles on R3 as manifolds with corners, with respect to which the hyperKaehler metrics admit asymptotic expansions up…