Publications (7)
Monopole triangle over integers
Haochen Qiu, Fan Ye
We prove the surgery exact triangle for monopole (Seiberg--Witten) Floer homology over integer coefficients, extending the work of Kronheimer--Mrowka--Ozsváth--Szabó over $\mathb…
Orbit Braid Action on a Finite Generated Group
Haochen Qiu
This paper aims to generalize Artin's ideas to establish an one-to-one correspondence between the orbit braid group and a quotient of a group f…
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 -manifolds obtained through…
Exotic diffeomorphisms on -manifolds with
Haochen Qiu
While the exotic diffeomorphisms turned out to be very rich, we know much less about the case, as parameterized gauge-theoretic invariants are not well defined. In this…
The Dehn twist on a connected sum of two homology tori
Haochen Qiu
Kronheimer-Mrowka shows that the Dehn twist along a -sphere in the neck of two surfaces is not smoothly isotopic to the identity. Their result requires that the manifolds a…
A surgery formula for Seiberg-Witten invariants
Haochen Qiu
We prove a surgery formula for the ordinary Seiberg-Witten invariants of smooth -manifolds with . Our formula expresses the Seiberg-Witten invariants of the manifold aft…
A Novel Loss Function for Deep Learning Based Daily Stock Trading System
Ruoyu Guo, Haochen Qiu, Xuelun Hou
Making consistently profitable financial decisions in a continuously evolving and volatile stock market has always been a difficult task. Professionals from different disciplines h…