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Creators/Authors contains: "Lin, Francesco"

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  1. null (Ed.)
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    Abstract We show that the Seifert–Weber dodecahedral space $$\textsf{SW}$$ is a monopole Floer homology $$L$$-space. The proof relies on our approach to study Floer homology using hyperbolic geometry. Although $$\textsf{SW}$$ is significantly larger than previous manifolds studied with this technique, we overcome computational complexity issues inherent to our method by exploiting the many symmetries of $$\textsf{SW}$$. In particular, we prove that small eigenvalues on coexact $$1$$-forms on $$\textsf{SW}$$ have large multiplicity. 
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