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

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.

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Bibliographic Details
Main Author: Yasuhiko Kamiyama
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/ijmm/8418617
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