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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
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1
answer
498
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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{*}$$
But if I apply Pieri rule for X (Theorem 2.1, Page 16, Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis, Quantum Pieri rules for isotropic grassmannians) to $\tau_{2}\cdot \tau_{2 …
CommunityBot
- 1
3
votes
Cohomology ring of grassmannian and Pieri rule
The equation $\tau_2^{2}-2\tau_{3}\tau_{1}-\tau_{4}$ (obtained by Pieri rule) is incorrect. It should be
$$\tau_2^{2}-2\tau_{3,1}-\tau_{4},$$
so there is no problem for such computations.
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