collaborators

6 papers

math.GT2026

Instantons and rational homology spheres

Aliakbar Daemi, Mike Miller Eismeier

In previous work, the second author defined 'equivariant instanton homology groups' for a rational homology 3-sphere , a set of auxiliary data , and a PI…

math.GT2026

The topological and smooth Hausmann-Weinberger invariants disagree

Mike Miller Eismeier

For a finitely presented group, Hausmann and Weinberger defined to be the minimum Euler characteristic over all closed, oriented -manifolds with funda…

math.GT2025

Framed instanton homology and Frøyshov's invariant

Sudipta Ghosh, Mike Miller Eismeier

We determine the framed instanton homology with coefficients in for Dehn surgeries on a knot in the -sphere. The dimension of these groups is seen to h…

math.GT2025

Equivariant instanton homology

Mike Miller Eismeier

We define four versions of equivariant instanton Floer homology ( and ) for a class of 3-manifolds and -bundles over them including all rat…

math.GT2025

A Lefschetz decomposition over , and applications

Analisa Faulkner Valiente, Mike Miller Eismeier

We discuss a 'Lefschetz filtration' of and prove its subquotients are isomorphic as -modules to primitive subspaces . Thi…

math.GT2025

Filtered instanton homology and cosmetic surgery

Aliakbar Daemi, Mike Miller Eismeier, Tye Lidman

The cosmetic surgery conjecture predicts that for a non-trivial knot in the three-sphere, performing two different Dehn surgeries results in distinct oriented three-manifolds. Hans…