22 citations · 88 across the 32 of their papers we have counts for
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math.DG2018★ 18 cited
A gluing formula for families Seiberg-Witten invariants
David Baraglia, Hokuto Konno
We prove a gluing formula for the families Seiberg-Witten invariants of families of -manifolds obtained by fibrewise connected sum. Our formula expresses the families Seiberg-Wi…
math.DG2018★ 3 cited
Positive scalar curvature and -type inequalities on -manifolds with periodic ends
Hokuto Konno, Masaki Taniguchi
We show -type inequalities for some end-periodic -manifolds which have positive scalar curvature metrics on the ends. As an application, we construct a new family of clos…
math.GT2018★ 7 cited
Characteristic classes via 4-dimensional gauge theory
Hokuto Konno
We construct characteristic classes of 4-manifold bundles using -Yang-Mills theory and Seiberg-Witten theory for families.