On integral cohomology algebra of some oriented Grassmann manifolds
Milica Jovanovi\'c

TL;DR
This paper computes the integral cohomology algebras of certain oriented Grassmann manifolds, extending previous results to specific cases and illustrating the method with additional examples.
Contribution
It provides explicit descriptions of the integral cohomology algebras for and 0, and demonstrates the use of the Leray-Serre spectral sequence for these computations.
Findings
Integral cohomology algebra of and 0 Grassmann manifolds determined.
Method applied to , 0, and cases, illustrating its effectiveness.
Extends previous work on ,3 to additional dimensions.
Abstract
The integral cohomology algebra of has been determined in the recent work of Kalafat and Yal\c{c}inkaya. We completely determine the integral cohomology algebra of for and . The main method used to describe these algebras is the Leray-Serre spectral sequence. We also illustrate this method by determining the integral cohomology algebra of for odd.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Homotopy and Cohomology in Algebraic Topology
