Volume 15, issue 5 (2015)
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Fiber surfaces from alternating states

Darlan Girão, João Nogueira and António Salgueiro
Algebraic & Geometric Topology 15 (2015) 2803–2815
DOI: 10.2140/agt.2015.15.2805
Abstract

In this paper we define alternating Kauffman states of links and we characterize when the induced state surface is a fiber. In addition, we give a different proof of a similar theorem of Futer, Kalfagianni and Purcell on homogeneous states.

Keywords
fibered links, state surfaces
Mathematical Subject Classification 2010
Primary: 57M25
Secondary: 57M15
References
Publication
Received: 25 June 2014
Revised: 1 October 2014
Accepted: 26 November 2014
Published: 10 December 2015
Authors
Darlan Girão
Department of Mathematics
Universidade Federal do Ceará
Av. Humberto Monte S/N
Campus do Pici – Bloco 914
60455-760 Fortaleza-CE
Brazil
João Nogueira
CMUC, Department of Mathematics
University of Coimbra
Apartado 3008
EC Santa Cruz
3001-501 Coimbra
Portugal
António Salgueiro
CMUC, Department of Mathematics
University of Coimbra
Apartado 3008
EC Santa Cruz
3001-501 Coimbra
Portugal