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http://dx.doi.org/10.4134/CKMS.c200431

RATIONAL HOMOTOPY TYPE OF MAPPING SPACES BETWEEN COMPLEX PROJECTIVE SPACES AND THEIR EVALUATION SUBGROUPS  

Gatsinzi, Jean-Baptiste (Department of Mathematics and Statistical Sciences Botswana International University of Science and Technology)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.1, 2022 , pp. 259-267 More about this Journal
Abstract
We use L∞ models to compute the rational homotopy type of the mapping space of the component of the natural inclusion in,k : ℂPn ↪ ℂPn+k between complex projective spaces and show that it has the rational homotopy type of a product of odd dimensional spheres and a complex projective space. We also characterize the mapping aut1 ℂPn → map(ℂPn, ℂPn+k; in,k) and the resulting G-sequence.
Keywords
Rational homotopy theory; mapping space; $L_{\infty}$ algebra;
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