Invariants of Combinatorial Structures Related to Topology of Knots and Links

Student: Kodaneva Nadezhda

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Final Grade: 10

Year of Graduation: 2019

In this work, we study the interlace polynomial as a generalization of a graph invariant to delta-matroids. We prove that the interlace polynomial satisfies the four-term relation for delta-matroids and determines thus a finite type invariant of links in the 3-sphere.

Full text (added May 26, 2019)

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