4 papers
Real sutured Heegaard Floer homology
Fraser Binns, Gary Guth, Yonghan Xiao
We develop a theory of real sutured manifolds and a real Heegaard Floer theory for these manifolds. We develop a notion of real nice diagrams, and prove that our invariant is combi…
Real link Floer homology
Yonghan Xiao
In this paper, we define real link Floer homology for strongly invertible and doubly periodic links in closed real -manifolds with connected fixed sets, which generalizes real H…
The equivalence between two real Seiberg-Witten Floer homologies
Yonghan Xiao
We show that for a real rational homology sphere equipped with a real structure , the real monopole Floer homology defined by Li and the real Se…
Grid homology for singular links in lens space and a resolution cube
Yonghan Xiao
In this paper, we define grid homologies for singular links in lens spaces and use them to construct a resolution cube for knot Floer homology of regular links in lens spaces. The…