2 citations · 3 across the 10 of their papers we have counts for
10 papers
Instantons, indefinite 4-manifolds, and Dehn surgery
Aliakbar Daemi, Xingpei Liu, Mike Miller Eismeier
We prove that there exist hyperbolic integer homology spheres with arbitrarily large Dehn surgery number. Previously, no integer homology sphere was known to have a surgery number…
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 fundame…
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…
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 . This…
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…
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 PID…
Hyperplanes in abelian groups and twisted signatures
Mike Miller Eismeier, Aiden Sagerman
We investigate the following question: if and are products of finite cyclic groups, when does there exist an isomorphism which preserves the union of coordin…
3-manifolds without any embedding in symplectic 4-manifolds
Aliakbar Daemi, Tye Lidman, Mike Miller Eismeier
We show that there exist infinitely many closed 3-manifolds that do not embed in closed symplectic 4-manifolds, disproving a conjecture of Etnyre-Min-Mukherjee. To do this, we cons…
Fourier transforms and integer homology cobordism
Mike Miller Eismeier
We explore the Fourier transform of the Heegaard Floer -invariants, which is particularly well-behaved with respect to connected sum. As corollaries, we show that lens spaces ar…
Monopoles, twisted integral homology, and Hirsch algebras
Francesco Lin, Mike Miller Eismeier
We provide an explicit computation over the integers of the bar version of the monopole Floer homology of a three-manifold in terms of a new invariant associated…