Relative Q-gradings from bordered Floer theory
Robert Lipshitz, Peter Ozsv\'ath, Dylan Thurston
TL;DR
This paper demonstrates how to derive the relative Q-grading in Heegaard Floer homology using the noncommutative grading structure present in bordered Floer homology, linking two important invariants.
Contribution
It introduces a method to recover the relative Q-grading in Heegaard Floer homology from bordered Floer homology's noncommutative grading.
Findings
Established a correspondence between gradings in bordered and Heegaard Floer theories.
Provided a computational approach to determine the relative Q-grading.
Enhanced understanding of the algebraic structures underlying Floer homology.
Abstract
In this paper we show how to recover the relative Q-grading in Heegaard Floer homology from the noncommutative grading on bordered Floer homology.
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