TY - JOUR
T1 - Generalized Permutahedra and Schubert Calculus
AU - Dizier, Avery St
AU - Yong, Alexander
N1 - Funding Information:
We would like to thank Husnain Raza for writing code, as part of the Illinois Combinatorics Lab for Undergraduate Experience (ICLUE) program, to help study Knutson’s descent cycling. We would also like to thank our collective authors Anshul Adve, Alex Fink, Karola Mészáros, Cara Monical, Neriman Tokcan, and Colleen Robichaux from [, , ] for their work upon which is paper is possible. AS was supported by an NSF postdoctoral fellowship. AY was partially supported by a Simons Collaboration Grant, an NSF RTG 1937241 in Combinatorics, and an appointment at the UIUC Center for Advanced Study.
Publisher Copyright:
© 2022, Institute for Mathematical Sciences (IMS), Stony Brook University, NY.
PY - 2022/10
Y1 - 2022/10
N2 - We connect generalized permutahedra with Schubert calculus. Thereby, we give sufficient vanishing criteria for Schubert intersection numbers of the flag variety. Our argument utilizes recent developments in the study of Schubitopes, which are Newton polytopes of Schubert polynomials. The resulting tableau test executes in polynomial time.
AB - We connect generalized permutahedra with Schubert calculus. Thereby, we give sufficient vanishing criteria for Schubert intersection numbers of the flag variety. Our argument utilizes recent developments in the study of Schubitopes, which are Newton polytopes of Schubert polynomials. The resulting tableau test executes in polynomial time.
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U2 - 10.1007/s40598-022-00208-z
DO - 10.1007/s40598-022-00208-z
M3 - Article
AN - SCOPUS:85132870537
SN - 2199-6792
VL - 8
SP - 517
EP - 533
JO - Arnold Mathematical Journal
JF - Arnold Mathematical Journal
IS - 3-4
ER -