Invariants of surfaces in smooth 4-manifolds from link homology
- Resource Type
- Working Paper
- Authors
- Morrison, Scott; Walker, Kevin; Wedrich, Paul
- Source
- Subject
- Mathematics - Geometric Topology
Mathematics - Quantum Algebra
- Language
We construct analogs of Khovanov-Jacobsson classes and the Rasmussen invariant for links in the boundary of any smooth oriented 4-manifold. The main tools are skein lasagna modules based on equivariant and deformed versions of $\mathfrak{gl}_N$ link homology, for which we prove non-vanishing and decomposition results.
Comment: 22 pages, comments welcome; v2 fixed opacity error in figures