Equivariant cobordisms between freely periodic knots
Canadian mathematical bulletin, Tome 66 (2023) no. 2, pp. 450-457
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We consider free symmetries on cobordisms between knots, which is equivalent to cobordisms between knots in lens spaces. We classify which freely periodic knots bound equivariant surfaces in the 4-ball in terms of corresponding homology classes in lens spaces. We give a numerical condition determining the free periods for which torus knots bound equivariant surfaces in the 4-ball.
Mots-clés :
Knot theory, equivariant cobordism, freely periodic knots
Boyle, Keegan; Musyt, Jeffrey. Equivariant cobordisms between freely periodic knots. Canadian mathematical bulletin, Tome 66 (2023) no. 2, pp. 450-457. doi: 10.4153/S000843952200042X
@article{10_4153_S000843952200042X,
author = {Boyle, Keegan and Musyt, Jeffrey},
title = {Equivariant cobordisms between freely periodic knots},
journal = {Canadian mathematical bulletin},
pages = {450--457},
year = {2023},
volume = {66},
number = {2},
doi = {10.4153/S000843952200042X},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S000843952200042X/}
}
TY - JOUR AU - Boyle, Keegan AU - Musyt, Jeffrey TI - Equivariant cobordisms between freely periodic knots JO - Canadian mathematical bulletin PY - 2023 SP - 450 EP - 457 VL - 66 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/S000843952200042X/ DO - 10.4153/S000843952200042X ID - 10_4153_S000843952200042X ER -
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