Pretzel knots with L-space surgeries

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Abstract

A rational homology sphere whose Heegaard Floer homology is the same in rank as that of a lens space is called an L-space. We classify pretzel knots with any number of tangles that admit L-space surgeries. This rests on Gabai's classification of fibered pretzel links.

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Lidman, T., & Moore, A. H. (2016). Pretzel knots with L-space surgeries. Michigan Mathematical Journal, 65(1), 105–130. https://doi.org/10.1307/mmj/1457101813

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