- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Rational homotopy type of mapping spaces between complex projective spaces and their evaluation subgroups Commun. Korean Math. Soc. 2022 Vol. 37, No. 1, 259-267 https://doi.org/10.4134/CKMS.c200431Published online August 9, 2021Printed January 31, 2022 Jean-Baptiste Gatsinzi Botswana International University of Science and Technology Abstract : We use $L_{\infty}$ models to compute the rational homotopy type of the mapping space of the component of the natural inclusion $i_{n,k}: \mathbb{C}P^n \hookrightarrow \mathbb{C}P^{n+k}$ 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 $\aut_1 \mathbb{C}P^n \rightarrow \map ( \mathbb{C}P^n, \mathbb{C}P^{n+k}; i_{n,k})$ and the resulting $G$-sequence. Keywords : Rational homotopy theory, mapping space, $L_{\infty}$ algebra MSC numbers : Primary 55P62; Secondary 54C35 Downloads: Full-text PDF   Full-text HTML

 Copyright © Korean Mathematical Society. (Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd