Rational homotopy of maps between certain complex Grassmann manifolds

Authors

Prateep Chakraborty, Indian Statistical Institute, Kolkata
Shreedevi K. Masuti, Institute of Mathematical Sciences India

Article Type

Research Article

Publication Title

Mathematica Slovaca

Abstract

Let Gn,k denote the complex Grassmann manifold of k-dimensional vector subspaces of n. Assume l,k ≤ n/2. We show that, for sufficiently large n, any continuous map h : Gn,l → Gn,k is rationally null homotopic if (i) 1 ≤ k < l, (ii) 2 < l < k < 2(l - 1), (iii) 1 < l < k, l divides n but l does not divide k.

First Page

181

Last Page

196

DOI

10.1515/ms-2017-0092

Publication Date

2-23-2018

Comments

All Open Access, Green

Recommended Citation

Chakraborty, Prateep and Masuti, Shreedevi K., "Rational homotopy of maps between certain complex Grassmann manifolds" (2018). Journal Articles. 1472.
https://digitalcommons.isical.ac.in/journal-articles/1472