78 citations · 426 across the 44 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★ 15 cited
Obstructions to smooth group actions on 4-manifolds from families Seiberg-Witten theory
David Baraglia
Let be a smooth, compact, oriented -manifold. Building upon work of Li-Liu, Ruberman, Nakamura and Konno, we consider a families version of Seiberg-Witten theory and obtain…
math.DG2018★ 12 cited
A foliated Hitchin-Kobayashi correspondence
David Baraglia, Pedram Hekmati
We prove an analogue of the Hitchin-Kobayashi correspondence for compact, oriented, taut Riemannian foliated manifolds with transverse Hermitian structure. In particular, our Hitch…