论文标题
几乎理性的管道的Instanton Floer同源
Instanton Floer homology of almost-rational plumbings
论文作者
论文摘要
我们表明，如果$ y $是几乎理性的管道的边界，那么框架的intsanton floer同源$ \ smash {i^\＃（y）} $对Heegaard floer同源$ \ smash {\ smash {\ wideHat {\ wideHat {\ mathit {\ mathit {hf}}（y mathbb}）这类3个manifolds包括所有带有Orbifold $ s^2 $的Seifert纤维纤维合理同源球（我们为其余的Seifert纤维纤维合理同源性领域$ \ UNICODE $ \ UNICODE {X2014} $建立了同构，其基础$ \ unicode {x2014} $ base $ \ nathbb {rp}^rp {rp}^2 $ \ uniCode = uniCode = uniCode {x2014141411414141414141414141411414141414141414141414144144岁。我们的证明利用了晶格同源性，并依靠Baldwin和Sivek最近建立的Instanton Floer Coobordism Maps的分解定理。
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.
