61 citations · 154 across the 15 of their papers we have counts for
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math.DG2013★ 6 cited
Dimension of monopoles on asymptotically conic 3-manifolds
Chris Kottke
The virtual dimensions of both framed and unframed SU(2) magnetic monopoles on asymptotically conic 3-manifolds are obtained by computing the index of a Fredholm extension of the a…
math.AT2013★ 3 cited
Loop-fusion cohomology and transgression
Chris Kottke, Richard Melrose
`Loop-fusion cohomology' is defined on the continuous loop space of a manifold in terms of \vCech cochains satisfying two multiplicative conditions with respect to the fusion and f…
math.DG2013★ 4 cited
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…