9 citations · 19 across the 6 of their papers we have counts for
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math.SG2013★ 2 cited
Higher-rank instanton cohomology and the quilted Atiyah-Floer conjecture
David L. Duncan
Given a closed, connected, oriented 3-manifold with positive first Betti number, one can define an instanton Floer group as well as a quilted Lagrangian Floer group. The quilted At…
math.SG2013★ 1 cited
An index relation for the quilted Atiyah-Floer conjecture
David L. Duncan
Given a closed, connected, oriented 3-manifold with positive first Betti number, one can define an instanton Floer group as well as a quilted Lagrangian Floer group. Each of these…
math.SG2012★ 7 cited
Compactness results for neck-stretching limits of instantons
David L. Duncan
We prove that, under a suitable degeneration of the metric, instantons converge to holomorphic quilts. To prove the main results, we develop estimates for the Yang-Mills heat flow…