Strong L-spaces and left orderability

Details Strong L-spaces and left orderability Strong L-spaces and left orderability

2011-10-04

arxiv.org/abs/1110.0563v1

Mathematics

Geometric Topology

9 pages

Scientific paper

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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