Rational homotopy of maps between certain complex Grassmann manifolds
Prateep Chakraborty, Shreedevi K. Masuti

TL;DR
This paper investigates the rational homotopy classes of maps between complex Grassmann manifolds, establishing conditions under which such maps are rationally null homotopic for large dimensions.
Contribution
It provides new criteria determining when continuous maps between certain complex Grassmannians are rationally null homotopic, based on divisibility and dimension constraints.
Findings
Maps are rationally null homotopic under specified conditions.
Results depend on divisibility of dimensions and relative sizes of k and l.
Findings hold for sufficiently large n.
Abstract
Let denote the complex Grassmann manifold of -dimensional vector subspaces of . Assume . We show that, for sufficiently large , any continuous map is rationally null homotopic if , , divides but does not divide .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
