Homotopy groups of $K$-contact toric manifolds
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- by Eugene Lerman
- Trans. Amer. Math. Soc. 356 (2004), 4075-4083
- DOI: https://doi.org/10.1090/S0002-9947-04-03557-3
- Published electronically: March 12, 2004
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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.References
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Bibliographic Information
- Eugene Lerman
- Affiliation: Department of Mathematics, University of Illinois, Urbana, Illinois 61801
- Email: lerman@math.uiuc.edu
- 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
- © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 4075-4083
- MSC (2000): Primary 53D10; Secondary 53D20
- DOI: https://doi.org/10.1090/S0002-9947-04-03557-3
- MathSciNet review: 2058839