The Euler Characteristic of the Fiber Product of Morse Functions on Grassmannians

Yasuhiko Kamiyama

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-6

Abstract: For F=R, C, or H, let GkFn denote the Grassmannian of k-planes in Fn. For a well-known Morse function f:GkFn⟶R, we denote by Cf the fiber product of two copies of f. We prove a formula which describes χCf.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:8418617

DOI: 10.1155/ijmm/8418617

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