Mark Powell

activity

20102026

most citedA survey of the foundations of four-manifold theory in the topological category

56 citations · 277 across the 50 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.GT2021

Simply-connected manifolds with large homotopy stable classes

Anthony Conway, Diarmuid Crowley, Mark Powell +1

For every $k \geq 2$ and $n \geq 2$ we construct $n$ pairwise homotopically inequivalent simply-connected, closed $4 k$ -dimensional manifolds, all of which are stably diffeomorphic…

math.GT2021★ 2 cited

Stably diffeomorphic manifolds and the realisation of modified surgery obstructions

Anthony Conway, Diarmuid Crowley, Mark Powell +1

For every $k \geq 2$ we construct infinitely many $4 k$ -dimensional manifolds that are all stably diffeomorphic but pairwise not homotopy equivalent. Each of these manifolds has hyp…

math.GT2021

Brunnian exotic surface links in the 4-ball

Kyle Hayden, Alexandra Kjuchukova, Siddhi Krishna +3

This paper investigates the exotic phenomena exhibited by links of disconnected surfaces with boundary that are properly embedded in the 4-ball. Our main results provide two differ…

math.GT2021★ 2 cited

The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds

Daniel Kasprowski, Mark Powell, Peter Teichner

We consider the role of the Kervaire--Milnor invariant in the classification of closed, connected, spin 4-manifolds, typically denoted by $M$ , up to stabilisation by connected sums…