Strong L-spaces and left orderability
classification
🧮 math.GT
keywords
stronghomologyl-spacel-spacesalternatingbranchedchainclosed
read the original abstract
We introduce the notion of a strong L-space, a closed, oriented rational homology 3-sphere whose Heegaard Floer homology can be determined at the chain level. We prove that the fundamental group of a strong L-space is not left-orderable. Examples of strong L-spaces include the double branched covers of alternating links in S^3.
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