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VOL. 71 | 2016 Schubert calculus and puzzles
Allen Knutson

Editor(s) Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki

Abstract

These are notes for four lectures given at the Osaka summer school on Schubert calculus in 2012, presenting the geometry from the unpublished arXiv:1008.4302 giving an extension of the puzzle rule for Schubert calculus to equivariant $K$-theory, while eliding some of the combinatorial detail. In particular, §3 includes background material on equivariant cohomology and $K$-theory.

Since that school, I have extended the results to arbitrary interval positroid varieties (not just those arising in Vakil's geometric Littlewood-Richardson rule), in the preprint [Kn2].

Information

Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 1378.14055
MathSciNet: MR3644824

Digital Object Identifier: 10.2969/aspm/07110185

Rights: Copyright © 2016 Mathematical Society of Japan

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