Virtual Slice Genus Tables | United States

Texts

Virtual Knot Cobordism and Bounding the Slice Genus

(with H. U. Boden & R. Gaudreau) to appear, Experimental Mathematics

Signature and Concordance of Virtual Knots

(with H. U. Boden & R. Gaudreau) to appear, Indiana University Mathematics Journal (contains updates to tables below)

Virtual Seifert Surfaces

to appear, J. Knot Theory Ramifications

Virtual Concordance and the generalized Alexander polynomial

(with H. U. Boden) under submission (contains updates to tables below)

Milnor's concordance invariants for knots on surfaces

(under submission) contains updates to tables below. Click here for supplement to Section 5.2. See below for programs.

Please reload

Table A: Crossing Number 4

Table B: Crossing Number 5

--Five Crossing "HAND" Cobordisms

genus one cobordisms marked as "HAND" in Table B.

Table C: Crossing Number 6

.XLS file containing full table on mulitplie sheets.

--List of Six Crossing Slice Virtual Knots

list of 1237 known slice 6 crossing virtual knots, names and Gauss codes

--Six Crossing Slice Knots with Slicings

explicit slicings of 1237 known slice virtual knots of six crossings

Please reload

Code for calculating extended Milnor invariants

This is a PDF. Please e-mail me for the .nb file.

Graded Genus Calculator Instructions

Read this before downloading and using the calculator.

Graded Genus Calculator

E-mail me for .cdf file of the Graded Genus Calculator (requires CDF player)

Code for Tabulation

non-executable PDF file

Code for Tabulation

For executable .nb file of above .pdf, contact me.

Please reload