activity
20152026
most citedEmbedded surfaces with infinite cyclic knot group

16 citations · 76 across the 22 of their papers we have counts for

collaborators

30 papers

math.GT2026

Algebraic concordance of links

David Cimasoni, Anthony Conway, Gaetan Simian

Algebraic concordance of knots can be understood from the perspective of Seifert matrices, Blanchfield forms, and homology surgery. We initiate a systematic study of algebraic conc…

math.GT2023★ 1 cited

Unknotting nonorientable surfaces

Anthony Conway, Patrick Orson, Mark Powell

Given a nonorientable, locally flatly embedded surface in the -sphere of nonorientable genus , Massey showed that the normal Euler number lies in $\lbrace -2h,-2h+4,\ldots,2h…

math.GT2022

Invariants of -knots

Anthony Conway

This short survey, which was written to accompany a minicourse at the BIRS conference "Topology in dimension 4.5", concerns invariants of knotted -spheres in , also known a…

math.GT2022★ 2 cited

Infinite homotopy stable class for 4-manifolds with boundary

Anthony Conway, Diarmuid Crowley, Mark Powell

We show that for every odd prime , there exists an infinite family of topological 4-manifolds that are all stably homeomorphic to one another, all the m…

math.GT2022★ 2 cited

-manifolds with boundary and fundamental group

Anthony Conway, Lisa Piccirillo, Mark Powell

We classify topological -manifolds with boundary and fundamental group , under some assumptions on the boundary. We apply this to classify surfaces in simply-connect…

math.GT2022★ 1 cited

Homotopy ribbon discs with a fixed group

Anthony Conway

In the topological category, the classification of homotopy ribbon discs is known when the fundamental group of the exterior is and the Baumslag-Solitar group $BS(…