Identities involving (doubly) symmetric polynomials and integrals over Grassmannians

Hiep, Dang Tuan

doi:10.48550/arxiv.1607.04850

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2021

2024

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Cited by 2 publications

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“…It computes some cohomological invariants by using the fixed point set of the action. In fact, the formula for the intersection number is given by using localization theory [6,8]. On the other hand, the Landau-Ginzburg formulation [1,4] uses a potential function, which is given by the total Chern class of the tautological bundle of G(k, N ), and residue.…”

Section: Introduction 1backgroundmentioning

confidence: 99%

Schubert Calculus via Fermionic Variables

Kuwata¹

2021

Preprint

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In [5], Imanishi, Jinzenji and Kuwata provided a recipe for computing Euler number of Grassmann manifold G(k, N ). In the process, they showed that the cohomology ring of G(k, N ) is represented by Grassmann variables. The purpose of this paper is to compute some integral of Chern classes of the dual bundle of the tautological bundle on G(k, N ) by using only Grassmann variables. In other words, we compute the intersection number of Schubert cycles by using only Grassmann variables.

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Section: Introduction 1backgroundmentioning

confidence: 99%