On the Signatures of Torus Knots

Maciej Borodzik, and Krzysztof Oleszkiewicz. "On the Signatures of Torus Knots." Bulletin of the Polish Academy of Sciences. Mathematics 58.2 (2010): 167-177. <http://eudml.org/doc/281156>.

@article{MaciejBorodzik2010,
abstract = {We study properties of the signature function of the torus knot $T_\{p,q\}$. First we provide a very elementary proof of the formula for the integral of the signature over the circle. We also obtain a closed formula for the Tristram-Levine signature of a torus knot in terms of Dedekind sums.},
author = {Maciej Borodzik, Krzysztof Oleszkiewicz},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Tristram-Levine signature; torus knot; Dedekind sum},
language = {eng},
number = {2},
pages = {167-177},
title = {On the Signatures of Torus Knots},
url = {http://eudml.org/doc/281156},
volume = {58},
year = {2010},
}

TY - JOUR
AU - Maciej Borodzik
AU - Krzysztof Oleszkiewicz
TI - On the Signatures of Torus Knots
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2010
VL - 58
IS - 2
SP - 167
EP - 177
AB - We study properties of the signature function of the torus knot $T_{p,q}$. First we provide a very elementary proof of the formula for the integral of the signature over the circle. We also obtain a closed formula for the Tristram-Levine signature of a torus knot in terms of Dedekind sums.
LA - eng
KW - Tristram-Levine signature; torus knot; Dedekind sum
UR - http://eudml.org/doc/281156
ER -