Can I read Instanton Floer homology of almost-rational plumbings on EtoBox?

Instanton Floer homology of almost-rational plumbings by Alfieri, Antonio; Baldwin, John A.; Dai, Irving; Sivek, Steven is a scholarly article available to read on EtoBox.

What is Instanton Floer homology of almost-rational plumbings about?

We show that if $Y$ is the boundary of an almost-rational plumbing, then the framed instanton Floer homology $\smash{I^\#(Y)}$ is isomorphic to the Heegaard Floer homology $\smash{\widehat{\mathit{HF}}(Y; \mathbb{C})}$. This class of 3-manifolds includes all Seifert fibered rational homology spheres with base orbifold $S^2$ (we establish the isomorphism for the remaining Seifert fibered rational homology spheres$\unicode{x2014}$with base $\mathbb{RP}^2$$\unicode{x2014}$directly). Our proof utilizes lattice homology, and relies on a decomposition theorem for instanton Floer cobordism maps recently established by Baldwin and Sivek.

Author

Alfieri, Antonio; Baldwin, John A.; Dai, Irving; Sivek, Steven

Published

2020

Language

EN