In this paper, we construct mock Alexander polynomials, generalizing the classical Alexander-Conway polynomial, for starred links and linkoids in surfaces. These polynomials are defined as specific sums over states of link or linkoid diagrams that satisfy $f=n$ where $f$ denotes the number of regions and $n$ denotes the number of crossings.
@article{10_37236_12889,
author = {Neslihan G\"ug\"umc\"u and Louis Kauffman},
title = {Mock {Alexander} polynomials},
journal = {The electronic journal of combinatorics},
year = {2025},
volume = {32},
number = {4},
doi = {10.37236/12889},
zbl = {8120115},
url = {http://geodesic.mathdoc.fr/articles/10.37236/12889/}
}
TY - JOUR
AU - Neslihan Gügümcü
AU - Louis Kauffman
TI - Mock Alexander polynomials
JO - The electronic journal of combinatorics
PY - 2025
VL - 32
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/12889/
DO - 10.37236/12889
ID - 10_37236_12889
ER -
%0 Journal Article
%A Neslihan Gügümcü
%A Louis Kauffman
%T Mock Alexander polynomials
%J The electronic journal of combinatorics
%D 2025
%V 32
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/12889/
%R 10.37236/12889
%F 10_37236_12889
Neslihan Gügümcü; Louis Kauffman. Mock Alexander polynomials. The electronic journal of combinatorics, Tome 32 (2025) no. 4. doi: 10.37236/12889
