Non-slice linear combinations of algebraic knots

Matthew Hedden; Paul Kirk; Charles Livingston

Journal of the European Mathematical Society (2012)

  • Volume: 014, Issue: 4, page 1181-1208
  • ISSN: 1435-9855

Abstract

top
We show that the subgroup of the knot concordance group generated by links of isolated complex singularities intersects the subgroup of algebraically slice knots in an infinite rank subgroup.

How to cite

top

Hedden, Matthew, Kirk, Paul, and Livingston, Charles. "Non-slice linear combinations of algebraic knots." Journal of the European Mathematical Society 014.4 (2012): 1181-1208. <http://eudml.org/doc/277368>.

@article{Hedden2012,
abstract = {We show that the subgroup of the knot concordance group generated by links of isolated complex singularities intersects the subgroup of algebraically slice knots in an infinite rank subgroup.},
author = {Hedden, Matthew, Kirk, Paul, Livingston, Charles},
journal = {Journal of the European Mathematical Society},
keywords = {knot; concordance; algebraic link; isolated singularity; slice knot; Casson–Gordon invariants; knot; concordance; algebraic link; isolated singularity; slice knot; Casson–Gordon invariants},
language = {eng},
number = {4},
pages = {1181-1208},
publisher = {European Mathematical Society Publishing House},
title = {Non-slice linear combinations of algebraic knots},
url = {http://eudml.org/doc/277368},
volume = {014},
year = {2012},
}

TY - JOUR
AU - Hedden, Matthew
AU - Kirk, Paul
AU - Livingston, Charles
TI - Non-slice linear combinations of algebraic knots
JO - Journal of the European Mathematical Society
PY - 2012
PB - European Mathematical Society Publishing House
VL - 014
IS - 4
SP - 1181
EP - 1208
AB - We show that the subgroup of the knot concordance group generated by links of isolated complex singularities intersects the subgroup of algebraically slice knots in an infinite rank subgroup.
LA - eng
KW - knot; concordance; algebraic link; isolated singularity; slice knot; Casson–Gordon invariants; knot; concordance; algebraic link; isolated singularity; slice knot; Casson–Gordon invariants
UR - http://eudml.org/doc/277368
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.