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Periodic Spanning Surfaces of Periodic Knots by Jabuka, Stanislav is a scholarly article available to read on EtoBox.

What is Periodic Spanning Surfaces of Periodic Knots about?

Edmonds famously proved that every periodic knot of genus g possesses an equivariant Seifert surface of genus g. We show that this is not true if one instead considers nonorientable spanning surfaces of a periodic knot. We demonstrate by example that the difference between the first Betti number of an equivariant and a nonequivariant nonorientable spanning surface of a periodic knot, can be arbitrarily large.

Author

Jabuka, Stanislav

Published

2021

Language

EN