Rational homotopy of the (homotopy) fixed point sets of circle actions

Buijs, Urtzi;Félix, Yves;Murillo, Aniceto
(2009) Advances in mathematics — Vol. 222, n° 1, p. 151-171 (2009)

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Authors
  • Buijs, Urtzi
    Author
  • FĂ©lix, YvesUCLouvain
    Author
  • Murillo, Aniceto
    Author
Abstract
In this paper, when G is the circle S-1 and M is a G-space, we study the rational homotopy type of the fixed point set M-G, the homotopy fixed point Set M-hG, and the natural injection M-G -> M-hG. (C) 2009 Elsevier Inc. All rights reserved.
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Buijs, U., Félix, Y., & Murillo, A. (2009). Rational homotopy of the (homotopy) fixed point sets of circle actions. Advances in mathematics, 222(1), 151-171. https://doi.org/10.1016/j.aim.2009.03.018 (Original work published 2009)