Haochen Qiu

collaborators

3 papers

math.GT2024

Surgery formulas for Seiberg-Witten invariants and family Seiberg-Witten invariants

Haochen Qiu

We prove a surgery formula for the ordinary Seiberg-Witten invariants, and surgery formulas for the families Seiberg-Witten invariants of families of $4$ -manifolds obtained through…

math.GT2024

Exotic diffeomorphisms on $4$ -manifolds with $b_{2}^{+} = 2$

Haochen Qiu

While the exotic diffeomorphisms turned out to be very rich, we know much less about the $b_{2}^{+} = 2$ case, as parameterized gauge-theoretic invariants are not well defined. In this…

math.GT2024

A surgery formula for Seiberg-Witten invariants

Haochen Qiu

We prove a surgery formula for the ordinary Seiberg-Witten invariants of smooth $4$ -manifolds with $b_{1} = 1$ . Our formula expresses the Seiberg-Witten invariants of the manifold aft…

Surgery formulas for Seiberg-Witten invariants and family Seiberg-Witten invariants

Exotic diffeomorphisms on 4-manifolds with b2+​=2

A surgery formula for Seiberg-Witten invariants

Exotic diffeomorphisms on $4$ -manifolds with $b_{2}^{+} = 2$