Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


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

Author: Sang Youl Lee
Journal: Trans. Amer. Math. Soc. 361 (2009), 237-265
MSC (2000): Primary 57Q45; Secondary 57M25
Published electronically: August 13, 2008
MathSciNet review: 2439406
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: 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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 57Q45, 57M25

Retrieve articles in all journals with MSC (2000): 57Q45, 57M25

Additional Information

Sang Youl Lee
Affiliation: Department of Mathematics, Pusan National University, Pusan 609-735, Korea

PII: S 0002-9947(08)04568-6
Keywords: Kauffman bracket polynomial, knotted surface, knot with bands, surface link, Yoshikawa moves, ch-diagram
Received by editor(s): December 18, 2006
Published electronically: August 13, 2008
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.