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Results tagged with grassmannians
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user 323204
Grassmannians are algebraic varieties whose points corresponds to vector subspaces of a fixed dimension in a fixed vector space.
5
votes
1
answer
498
views
Cohomology ring of grassmannian and Pieri rule
According to Theorem 2.2 a) (Page 17, Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis, Quantum Pieri rules for isotropic grassmannians, https://arxiv.org/pdf/0809.4966.pdf), the cohomology ring of … \tag{*}\label{*}$$
But if I apply Pieri rule for X (Theorem 2.1, Page 16, Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis, Quantum Pieri rules for isotropic grassmannians) to $\tau_{2}\cdot \tau_{2 …
- 81
3
votes
Cohomology ring of grassmannian and Pieri rule
The equation $\tau_2^{2}-2\tau_{3}\tau_{1}-\tau_{4}$ (obtained by Pieri rule) is incorrect. It should be
$$\tau_2^{2}-2\tau_{3,1}-\tau_{4},$$
so there is no problem for such computations.
- 81