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arxiv: 1211.7367 · v2 · pith:QDNGITV2new · submitted 2012-11-30 · 🧮 math.GT · math.SG

A topological grading on bordered Heegaard Floer homology

classification 🧮 math.GT math.SG
keywords gradingfloerheegaardhomologyborderedabsoluteath-thurstoncanonical
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In this paper, we construct a canonical grading on bordered Heegaard Floer homology by homotopy classes of nonvanishing vector fields. This grading is a generalization of our construction of an absolute grading on Heegaard Floer homology and it extends the well-known grading with values in a noncommutative group defined by Lipshitz-Ozsv\'ath-Thurston.

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