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math.AT2019★ 2 cited
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…
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…