DOAJ Open Access 2014

A Murgnahan-Nakayama rule for Schubert polynomials

Andrew Morrison

Lihat Sumber DOI

Abstrak

We expose a rule for multiplying a general Schubert polynomial with a power sum polynomial in $k$ variables. A signed sum over cyclic permutations replaces the signed sum over rim hooks in the classical Murgnahan-Nakayama rule. In the intersection theory of flag manifolds this computes all intersections of Schubert cycles with tautological classes coming from the Chern character. We also discuss extensions of this rule to small quantum cohomology.

Topik & Kata Kunci

Mathematics

Penulis (1)

Andrew Morrison

Format Sitasi

APA MLA BibTeX

Morrison, A. (2014). A Murgnahan-Nakayama rule for Schubert polynomials. https://doi.org/10.46298/dmtcs.2420

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2420

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2420
Akses: Open Access ✓