Towards invariants of surfaces in 4-space via classical link invariants

• Autores: Sang Youl Lee
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 361, Nº 1, 2009, págs. 237-265
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, we introduce a method to construct ambient isotopy invariants for smooth imbeddings of closed surfaces into 4-space by using hyperbolic splittings of the imbedded surfaces and an arbitrary given isotopy or regular isotopy invariant of classical knots and links in 3-space. Using this construction, adopting the Kauffman bracket polynomial as an example, we produce some invariants.