activity
20092015
most citedVirtual knot groups and almost classical knots

24 citations · 47 across the 6 of their papers we have counts for

collaborators

6 papers

math.GT2015★ 2 cited

The SU(N) Casson-Lin invariants for links

Hans U. Boden, Eric Harper

We introduce the Casson-Lin invariants for links in with more than one component. Writing , we require as input an -tuple $…

math.GT2015★ 24 cited

Virtual knot groups and almost classical knots

Hans U. Boden, Robin Gaudreau, Eric Harper +2

We define a group-valued invariant of virtual knots and relate it to various other group-valued invariants of virtual knots, including the extended group of Silver-Williams and the…

math.GT2014★ 21 cited

Alexander invariants for virtual knots

Hans U. Boden, Emily Dies, Anne Isabel Gaudreau +3

Given a virtual knot , we construct a group called the virtual knot group, and we use the elementary ideals of to define invariants of called the virtual Alexa…

math.GT2013

On instanton homology of corks W_n

Eric Harper

We consider a family of corks, denoted , constructed by Akbulut and Yasui. Each cork gives rise to an exotic structure on a smooth 4-manifold via a twist on its boundary $…

math.GT2010

Instanton Floer homology for two-component links

Eric Harper, Nikolai Saveliev

For any link of two components in an integral homology sphere, we define an instanton Floer homology whose Euler characteristic is the linking number between the components of the…

math.GT2009

A Casson-Lin type invariant for links

Eric Harper, Nikolai Saveliev

We define an integer valued invariant for two-component links in S^3 by counting projective SU(2) representations of the link group having non-trivial second Stiefel-Whitney class.…