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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Homotopy groups of $K$-contact toric manifolds


Author: Eugene Lerman
Journal: Trans. Amer. Math. Soc. 356 (2004), 4075-4083
MSC (2000): Primary 53D10; Secondary 53D20
Published electronically: March 12, 2004
MathSciNet review: 2058839
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Abstract: Contact toric manifolds of Reeb type are a subclass of contact toric manifolds which have the property that they are classified by the images of the associated moment maps. We compute their first and second homotopy group terms of the images of the moment map. We also explain why they are $K$-contact.


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Additional Information

Eugene Lerman
Affiliation: Department of Mathematics, University of Illinois, Urbana, Illinois 61801
Email: lerman@math.uiuc.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-04-03557-3
PII: S 0002-9947(04)03557-3
Received by editor(s): December 23, 2002
Received by editor(s) in revised form: July 11, 2003
Published electronically: March 12, 2004
Additional Notes: The author was supported by NSF grant DMS-980305
Article copyright: © Copyright 2004 American Mathematical Society