Topology Atlas | Conferences

Knots in the Triangle (Knots kNot in Washington)
April 29 - May 1, 2016
North Carolina State University
Raleigh NC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

Conference Homepage


Geometry of secants
by
Oleg Viro
Stony Brook Universtiy

A secant of a link is a line which intersects the link. Secants of a link form a space stratified by the number of intersection points as well as by other geometric properties of secants. If the link is real algebraic curve, then the stratification is refined by interaction between the complexifications of the link and secants. Strata are equipped with functions that are naturally defined and related to link invariants.

In the talk we will study the strata, their modifications under isotopies and formulas relating characteristics of the strata to each other and to known link invariants.

Date received: April 24, 2016

Copyright © 2016 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbmk-41.