Skein algebras of surfaces
Józef Henryk Przytycki , Adam S. Sikora
AbstractWe show that the Kauffman bracket skein algebra of any oriented surface F (possibly with marked points in its boundary) has no zero divisors and that its center is generated by knots parallel to the unmarked components of the boundary of F. Furthermore, we show that skein algebras are Noetherian and Ore. Our proofs rely on certain filtrations of skein algebras induced by pants decompositions of surfaces. We prove some basic algebraic properties of the associated graded algebras along the way.
|Journal series||Transactions of the American Mathematical Society, ISSN 0002-9947, (A 40 pkt)|
|Publication size in sheets||1.15|
|Keywords in English||Kauffman bracket skein module, skein algebra, Dehn-Thurston numbers|
|Score|| = 40.0, ArticleFromJournal|
= 40.0, ArticleFromJournal
|Publication indicators||: 2017 = 1.496 (2) - 2017=1.399 (5)|
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