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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/ijmm/8418617 |
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| Summary: | 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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| ISSN: | 1687-0425 |