8 papers
Bordered Floer homology and incompressible surfaces
Akram Alishahi, Robert Lipshitz
We show that bordered Heegaard Floer homology detects incompressible surfaces and bordered-sutured Floer homology detects partly boundary parallel tangles and bridges, in natural w…
Real bordered Floer homology
Robert Lipshitz, Peter Ozsváth
Fix a 3-manifold with boundary and an orientation-preserving involution exchanging the boundary components, with nonempty fixed set. To an appropriate…
New infinite families in the stable homotopy groups of spheres
Prasit Bhattacharya, Irina Bobkova, J. D. Quigley
We identify seven new -periodic infinite families of elements in the -primary stable homotopy groups of spheres. Although their Hurewicz image is trivial for topological mo…
Local equivalence and refinements of Rasmussen's s-invariant
Nathan M. Dunfield, Robert Lipshitz, Dirk Schuetz
Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivaria…
Involutive bordered Floer homology
Kristen Hendricks, Robert Lipshitz
We give a bordered extension of involutive HF-hat and use it to give an algorithm to compute involutive HF-hat for general 3-manifolds. We also explain how the mapping class group…
The reciprocal complement of a polynomial ring in several variables over a field
Neil Epstein, Lorenzo Guerrieri, K. Alan Loper
The *reciprocal complement* of an integral domain is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of ar…