Rational models of the complement of a subpolyhedron in a manifold with boundary

Cordova Bulens, Hector;Lambrechts, Pascal;Stanley, Don
(2018) Canadian Journal of Mathematics — Vol. 70, n° 2, p. 265-293 (2018)

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Authors
  • Cordova Bulens, HectorUCLouvain
    Author
  • Lambrechts, PascalUCLouvain
    Author
  • Stanley, DonDept. of Math. and Stat., Univ. of Regina (Canada)
    Author
Abstract
Let be a compact simply connected triangulated manifold with boundary and let be a subpolyhedron. We construct an algebraic model of the rational homotopy type of out of a model of the map of pairs under some high codimension hypothesis. We deduce the rational homotopy invariance of the configuration space of two points in a compact manifold with boundary under 2-connectedness hypotheses. Also, we exhibit nice explicit models of these configuration spaces for a large class of compact manifolds.
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Cordova Bulens, H., Lambrechts, P., & Stanley, D. (2018). Rational models of the complement of a subpolyhedron in a manifold with boundary. Canadian Journal of Mathematics, 70(2), 265-293. https://doi.org/10.4153/CJM-2017-021-3 (Original work published 2018)