Casson - Gordon invariants for boundary links

Speaker(s)

Maciej Borodzik

Affiliation

University of Warsaw

Date

Oct. 22, 2021, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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A link L with components L_1,...,L_n is called a boundary link, if there exist closed oriented pairwise disjoint surfaces S_1,...,S_n such that S_i bounds L_i. Boundary links admit a rich algebraic structure coming from an epimorphism of the fundamental group of S^3-L onto a free group F_n with n generators. In the present paper we use this rich structure to define non-commutative analogs of Casson-Gordon invariants, extending on the works of Cha, Ranicki and Sheiham. This is a joint project with Wojciech Politarczyk.

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