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4 results for “Khovanov-Lipshitz-Sarkar”
Steenrod square for virtual links toward Khovanov-Lipshitz-Sarkar stable homotopy type for virtual linksmath.GT

Defines a new Steenrod square for virtual links, linking to Khovanov-Lipshitz-Sarkar stable homotopy type.

problem Studying Steenrod squares for virtual links.
method Defines a second Steenrod square for virtual links.
result First meaningful nontrivial example of the second Steenrod square on Khovanov homology.
Steenrod squarevirtual linksKhovanov-Lipshitz-Sarkarstable homotopy type
2020-01-21abs ↗pdf ↗
Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfacesmath.GT

New homotopy types defined for links in thickened surfaces with higher genus.

problem Defining stable homotopy types for links in surfaces with higher genus.
method Defined Khovanov-Lipshitz-Sarkar homotopy types and Steenrod squares for links in thickened surfaces with genus > 1.
result First meaningful Khovanov-Lipshitz-Sarkar stable homotopy types for links in 3-manifolds other than the 3-sphere.
Khovanov-Lipshitz-Sarkar homotopy typeslinks in surfaceshigher genusSteenrod squares3-manifolds
2020-07-17abs ↗pdf ↗