Involutive bordered Floer homology

Kristen Hendricks; Robert Lipshitz

doi:10.1090/tran/7557

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arXiv · 1706.06557

Involutive bordered Floer homology

Kristen Hendricks·Robert Lipshitz

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Abstract

We give a bordered extension of involutive HF-hat and use it to give an algorithm to compute involutive HF-hat for general 3-manifolds. We also explain how the mapping class group action on HF-hat can be computed using bordered Floer homology. As applications, we prove that involutive HF-hat satisfies a surgery exact triangle and compute HFI-hat of the branched double covers of all 10-crossing knots.

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BibTeX RIS

Kristen Hendricks, Robert Lipshitz. 2017-06-20. Involutive bordered Floer homology. https://doi.org/10.1090/tran/7557

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