Celebratio Mathematica — Hass — Complete Bibliography

Complete Bibliography

Works connected to Anastasiia Tsvietkova

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J. Hass, A. Thompson, and A. Tsvietkova: “The number of surfaces of fixed genus in an alternating link complement,” Int. Math. Res. Not. 2017 : 6 (March 2017), pp. 1611–1622. MR 3658176 ArXiv 1508.03680 article

Abigail A. Thompson	Related	Volume
Anastasiia Tsvietkova	Related

J. Hass, A. Thompson, and A. Tsvietkova: “Alternating links have at most polynomially many Seifert surfaces of fixed genus,” Indiana Univ. Math. J. 70 : 2 (2021), pp. 525–534. MR 4257618 article

Abigail A. Thompson	Related	Volume
Anastasiia Tsvietkova	Related

J. Hass, A. Thompson, and A. Tsvietkova: “Tangle decompositions of alternating link complements,” Illinois J. Math. 65 : 3 (2021), pp. 533–545. MR 4312193 article

Decomposing knots and links into tangles is a useful technique for understanding their properties. The notion of prime tangles was introduced by Kirby and Lickorish; Lickorish proved that by summing prime tangles one obtains a prime link. In a similar spirit, summing two prime alternating tangles will produce a prime alternating link if summed correctly with respect to the alternating property. Given a prime alternating link, we seek to understand whether it can be decomposed into two prime tangles, each of which is alternating. We refine results of Menasco and Thistlethwaite to show that if such a decomposition exists, either it is visible in an alternating link diagram or the link is of a particular form, which we call a pseudo-Montesinos link.

Abigail A. Thompson	Related	Volume
Anastasiia Tsvietkova	Related