Geodesic
A Murgnahan-Nakayama rule for Schubert polynomials
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014).

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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. 
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     author = {Morrison, Andrew},
     title = {A {Murgnahan-Nakayama} rule for {Schubert} polynomials},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
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     year = {2014},
     doi = {10.46298/dmtcs.2420},
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     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2420/}
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Morrison, Andrew. A Murgnahan-Nakayama rule for Schubert polynomials. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014). doi : 10.46298/dmtcs.2420. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2420/

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