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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

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The 1,2-coloured HOMFLY-PT link homology
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by Marco Mackaay, Marko Stošić and Pedro Vaz PDF
Trans. Amer. Math. Soc. 363 (2011), 2091-2124 Request permission

Abstract:

In this paper we define the 1,2-coloured HOMFLY-PT triply graded link homology and prove that it is a link invariant. We also conjecture on how to generalize our construction for arbitrary colours.
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Additional Information
  • Marco Mackaay
  • Affiliation: Departamento de Matemática, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal – and – CAMGSD, Instituto Superior Técnico, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal
  • MR Author ID: 648267
  • Email: mmackaay@ualg.pt
  • Marko Stošić
  • Affiliation: Instituto de Sistemas e Robótica and CAMGSD, Instituto Superior Técnico, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal
  • Email: mstosic@math.ist.utl.pt
  • Pedro Vaz
  • Affiliation: Departamento de Matemática, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal – and – CAMGSD, Instituto Superior Técnico, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal
  • Address at time of publication: Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
  • Email: pfortevaz@ualg.pt, pedro.vaz@math.uzh.ch
  • Received by editor(s): December 2, 2008
  • Received by editor(s) in revised form: July 2, 2009
  • Published electronically: November 17, 2010
  • Additional Notes: The authors thank Mikhail Khovanov and Catharina Stroppel for helpful conversations on the topic of this paper. The authors were supported by the Fundação para a Ciência e a Tecnologia (ISR/IST plurianual funding) through the programme “Programa Operacional Ciência, Tecnologia, Inovação” (POCTI) and the POS Conhecimento programme, cofinanced by the European Community fund FEDER. The second author was also partially supported by the Ministry of Science of Serbia, project 144032
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 2091-2124
  • MSC (2010): Primary 18G60, 57M27
  • DOI: https://doi.org/10.1090/S0002-9947-2010-05155-4
  • MathSciNet review: 2746676