Periodic knots and Heegaard Floer correction terms
Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1651-1674
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},
year = {2016},
volume = {18},
number = {8},
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 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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