5 papers
Multi-framed real monopole Floer theory
Jiakai Li
This paper constructs a framed real monopole Floer homology for three-manifolds with involutions, marked with multiple basepoints. The relative gradings of these Floer homologies d…
Real monopoles and a spectral sequence from Khovanov homology
Jiakai Li
Given a based link , we define a "tilde"-version of real monopole Floer homology and prove an unoriented skein exact triangle. We show the Euler character…
Monopole Invariants for Webs and Foams
Jiakai Li
We develop a package of monopole Floer-theoretic invariants for webs and foams using real Seiberg-Witten theory with orbifold singularities, based on Kronheimer and Mrowka's framew…
Real Monopole Floer Homology and Skein Exact Triangles
Jiakai Li
We prove an unoriented skein extract triangle for the real monopole Floer homology and introduce a Frøyshov-type invariant.
Monopole Floer Homology and Real Structures
Jiakai Li
We define a "real" version of Kronheimer-Mrowka's monopole Floer homology for a 3-manifold equipped with an involution. As a special case, we obtain invariants for links via their…