Periodic knots and Heegaard Floer correction terms
Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1651-1674
Voir la notice de l'article provenant de la source EMS Press
We derive new obstructions to periodicity of classical knots by employing the Heegaard Floer correction terms of the finite cyclic branched covers of the knots. Applying our results to 2-fold covers, we demonstrate through numerous examples that our obstructions are successful where many existing periodicity obstructions fail.
Classification :
57-XX
Keywords: Knot, periodic, Heegaard Floer, correction terms
Keywords: Knot, periodic, Heegaard Floer, correction terms
@article{JEMS_2016_18_8_a0,
author = {Stanislav Jabuka and Swatee Naik},
title = {Periodic knots and {Heegaard} {Floer} correction terms},
journal = {Journal of the European Mathematical Society},
pages = {1651--1674},
publisher = {mathdoc},
volume = {18},
number = {8},
year = {2016},
doi = {10.4171/jems/624},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/624/}
}
TY - JOUR AU - Stanislav Jabuka AU - Swatee Naik TI - Periodic knots and Heegaard Floer correction terms JO - Journal of the European Mathematical Society PY - 2016 SP - 1651 EP - 1674 VL - 18 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/624/ DO - 10.4171/jems/624 ID - JEMS_2016_18_8_a0 ER -
Stanislav Jabuka; Swatee Naik. Periodic knots and Heegaard Floer correction terms. Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1651-1674. doi: 10.4171/jems/624
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