The embedded contact homology of sutured solid tori

Golovko, Roman

doi:10.2140/agt.2011.11.1001

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The embedded contact homology of sutured solid tori

Roman Golovko

Algebraic & Geometric Topology 11 (2011) 1001–1031

DOI: 10.2140/agt.2011.11.1001

Abstract

We calculate the relative versions of embedded contact homology, contact homology and cylindrical contact homology of the sutured solid torus $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mo class="MathClass-open">(</mo><mrow><msup><mrow><mi>S</mi></mrow><mrow><mn>1</mn></mrow></msup> <mo class="MathClass-bin">×</mo> <msup><mrow><mi>D</mi></mrow><mrow><mn>2</mn></mrow></msup><mo class="MathClass-punc">,</mo><mi>Γ</mi></mrow><mo class="MathClass-close">)</mo></mrow></math>$ , where $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Γ</mi></math>$ consists of $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>2</mn><mi>n</mi></math>$ parallel longitudinal sutures.

Keywords

embedded contact homology, contact homology, sutured manifold

Mathematical Subject Classification 2000

Primary: 57M50

Secondary: 53D10, 53D40

References

Publication

Received: 24 July 2010

Revised: 15 November 2010

Accepted: 29 January 2011

Published: 25 March 2011

Authors

Roman Golovko
Département de Mathématiques et de Statistique Université de Montréal Montreal QC H3T 1J4 Canada
http://www.dms.umontreal.ca/~rgolovko

Volume 11, issue 2 (2011)