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Invariants of Binary Delta-Matroids and Projections onto the Subspace of Primitive Elements

Student: Polina Filippova

Supervisor: Sergei Lando

Faculty: Faculty of Mathematics

Educational Programme: Mathematics and Mathematical Physics (Master)

Final Grade: 7

Year of Graduation: 2018

In this work we used computer computations to check whether the Penrose polynomial of a binary delta-matroid becomes simpler after the projection of the matroid onto the subspace of primitive elements in the Hopf algebra of binary delta-matroids. Computer computations for even binary delta-matroids of orders 1 —— 5 didn't show any simplification. So we may assume that there is no such a simplification for any binary delta-matroid.

Full text (added June 1, 2018)

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