9 papers
Lattice homology and Seiberg-Witten Floer spectra
Irving Dai, Hirofumi Sasahira, Matthew Stoffregen
Using lattice homology, we give an explicit combinatorial description of the Seiberg-Witten-Floer spectrum for an almost-rational plumbed homology sphere. Thi…
Reidemeister and movie moves for involutive links
Maciej Borodzik, Irving Dai, Abhishek Mallick +1
An involutive link is a link which is invariant under the standard rotation by 180 degrees in . We establish an equivariant analogue of the work of Carter and Saito aimed at s…
Khovanov homology and equivariant surfaces
Maciej Borodzik, Irving Dai, Abhishek Mallick +1
We introduce a refinement of Bar-Natan homology for involutive links, extending the work of Lobb-Watson and Sano. We construct a new suite of numerical invariants and derive bounds…
The link surgery formula and equivariant surgeries
Kristen Hendricks, Abhishek Mallick, Matthew Stoffregen +1
We prove an equivariant version of the Heegaard Floer link surgery formula. As a special case, this gives an equivariant knot surgery formula for equivariant knots in . Our pr…
Naturality and functoriality in involutive Heegaard Floer homology
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We prove first-order naturality of involutive Heegaard Floer homology, and furthermore construct well-defined maps on involutive Heegaard Floer homology associated to cobordisms be…
Surgery exact triangles in involutive Heegaard Floer homology
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We establish a surgery exact triangle for involutive Heegaard Floer homology by using a doubling model of the involution. We use this exact triangle to give an involutive version o…