Rational homotopy of maps between certain complex Grassmann manifolds

In: Mathematica Slovaca, vol. 68, no. 1

Prateep Chakraborty - Shreedevi K. Masuti

Detaily:

Rok, strany: 2018, 181 - 196

Kľúčové slová:

Grassmann manifold, homotopy class of maps, graded algebra homomorphism, cohomology algebra

DOI: https://doi.org/10.1515/ms-2017-0092

O článku:

Let $G_n,k$ denote the complex Grassmann manifold of $k$-dimensional vector subspaces of $\mathbb{C}ⁿ$. Assume $l,k≤ \lfloor n/2\rfloor$. We show that, for sufficiently large $n$, any continuous map $h:G_n,l\to G_n,k$ is rationally null homotopic if (i) $1≤ k < l$, (ii) $2 < l < k < 2(l-1)$, (iii) $1

Ako citovať:

ISO 690:

Chakraborty, P., Masuti, S. 2018. Rational homotopy of maps between certain complex Grassmann manifolds. In Mathematica Slovaca, vol. 68, no.1, pp. 181-196. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0092

APA:

Chakraborty, P., Masuti, S. (2018). Rational homotopy of maps between certain complex Grassmann manifolds. Mathematica Slovaca, 68(1), 181-196. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0092

O vydaní:

Publikované: 23. 2. 2018