Last Update 2022/11/21
My research interests are in low-dimensional topology and geometric topology. Especially, my research has been focused on the Seiberg-Witten Floer theory of 3-manifolds and 4-manifolds. My current work is to extend Manolescu's and Kronheimer-Manolescu's construction of the Floer homotopy type, a stable homotopy object whose appropriate homology gives back monopole Floer homology, to general 3-manifolds. Furthermore, I try to extend Bauer-Furuta's stable homotopy invariants to general 4-manifolds with boundary.
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