We formulate a more conceptual interpretation of the Cappell-Lee-Miller glueing/splitting theorem using the new language of asymptotic maps and asymptotic exactness. Additionally, we present an asymptotic description of the Mayer-Vietoris sequence naturally associated to the Cech cohomology of the sheaf of local soluti…
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3 results for “Cappell-Lee-Miller”
This paper decomposes Hodge cohomology of manifold cylinders over graphs.
problem Decomposing Hodge cohomology of manifolds with embedded cylinders.
method Develops adiabatic decomposition using combinatorial and geometric structures.
result Generalizes Cappell-Lee-Miller splicing map to finite number of edges.
Cohomology of SL(2,C) character varieties of surface groups and the action of the Torelli groupmath.GT
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2,C) connections on a closed Riemann surface. We show that the trivial part of the action contains the equivariant cohomology of the even component of the space of flat PSL(2,C) connections. The non-trivial part consists …