This paper is a brief overview of recent results by the authors relating colored Jones polynomials to geometric topology. The proofs of these results appear in the papers [18, 19], while this survey focuses on the main ideas and examples.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc100-0-3, author = {David Futer and Efstratia Kalfagianni and Jessica S. Purcell}, title = {Jones polynomials, volume and essential knot surfaces: a survey}, journal = {Banach Center Publications}, volume = {102}, year = {2014}, pages = {51-77}, zbl = {1285.57002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc100-0-3} }
David Futer; Efstratia Kalfagianni; Jessica S. Purcell. Jones polynomials, volume and essential knot surfaces: a survey. Banach Center Publications, Tome 102 (2014) pp. 51-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc100-0-3/