Arunima Ray

collaborators

3 papers

math.GT2026

Isotopy and equivalence of knots in 3-manifolds

Paolo Aceto, Corey Bregman, Christopher W. Davis +2

We show that in a prime, closed, oriented 3-manifold M, equivalent knots are isotopic if and only if the orientation preserving mapping class group is trivial. In the case of irred…

math.GT2025

Homotopy classification of $4$ -manifolds with $3$ -manifold fundamental group

Jonathan Hillman, Daniel Kasprowski, Mark Powell +1

We give a criterion on a group $I ¨ $ and a homomorphism $w : I ¨ \to C_{2}$ under which closed $4$ -manifolds with fundamental group $I ¨ $ and orientation character $w$ are classifie…

math.GT2025

The 4-dimensional disc embedding theorem and dual spheres

Mark Powell, Arunima Ray, Peter Teichner

We modify the proof of the disc embedding theorem for $4$ -manifolds, which appeared as Theorem 5.1A in the book "Topology of 4-manifolds" by Freedman and Quinn, in order to constru…

Isotopy and equivalence of knots in 3-manifolds

Homotopy classification of 4-manifolds with 3-manifold fundamental group

The 4-dimensional disc embedding theorem and dual spheres

Homotopy classification of $4$ -manifolds with $3$ -manifold fundamental group