Simple geometric mitosis

Simple geometric mitosis

We construct simple geometric operations on faces of the Cayley sum of two polytopes. These operations can be thought of as convex geometric counterparts of divided difference operators in Schubert calculus. We show that these operations give a uniform construction of Knutson-Miller mitosis (in type...

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Veröffentlicht in:arXiv.org 2022-12
1. Verfasser: Kiritchenko, Valentina
Format: Artikel
Sprache:eng
Schlagworte:
Finite differences
Mitosis
Operators (mathematics)
Polytopes
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Zusammenfassung:We construct simple geometric operations on faces of the Cayley sum of two polytopes. These operations can be thought of as convex geometric counterparts of divided difference operators in Schubert calculus. We show that these operations give a uniform construction of Knutson-Miller mitosis (in type A) and (simplified) Fujita mitosis (in type C) on Kogan faces of Gelfand-Zetlin polytopes.
ISSN:2331-8422