A Positive Formula for Type A Peterson Schubert Calculus

Rebecca Goldin, Brent Gorbutt

Type: Article

Publication Date: 2022-05-17

Citations: 9

DOI: https://doi.org/10.1007/s44007-022-00023-0

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La Matematica - View - PDF

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+	Positivity of Peterson Schubert Calculus	2021	Rebecca Goldin Leonardo C. Mihalcea Rahul Kumar Singh
+ PDF Chat	Toward cohomology rings of intersections of Peterson varieties and Richardson varieties	2024	Tatsuya Horiguchi
+ PDF Chat	Remixed Eulerian numbers	2023	Philippe Nadeau Vasu Tewari
+ PDF Chat	Geometry of Peterson Schubert calculus in type A and left-right diagrams	2024	Hiraku Abe Tatsuya Horiguchi Hideya Kuwata Haozhi Zeng
+ PDF Chat	Positivity of Peterson Schubert calculus	2024	Rebecca Goldin Leonardo C. Mihalcea Rahul Kumar Singh
+ PDF Chat	Mixed Eulerian Numbers and Peterson Schubert Calculus	2023	Tatsuya Horiguchi
+	Geometry of Peterson Schubert calculus in type A and left-right diagrams	2021	Hiraku Abe Tatsuya Horiguchi Hideya Kuwata Haozhi Zeng
+	Equivariant Chevalley, Giambelli, and Monk Formulae for the Peterson Variety	2021	Rebecca Goldin Rahul Kumar Singh
+	On positivity for the Peterson variety	2024	Rebecca Goldin

Works Cited by This (20)

Action	Title	Year	Authors
+	Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p : independence of p	1994	H. H. Andersen Jens Carsten Jantzen W. Soergel
+	Kostant polynomials and the cohomology ring for G/B	1999	Sara Billey
+ PDF Chat	The equivariant cohomology ring of regular varieties	2004	Michel Brion James B. Carrell
+	A mirror symmetric construction of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi><mml:msubsup><mml:mi>H</mml:mi><mml:mi>T</mml:mi><mml:mo>∗</mml:mo></mml:msubsup><mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>G</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>P</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="…	2008	Konstanze Rietsch
+ PDF Chat	The Equivariant Cohomology Rings of Peterson Varieties in All Lie Types	2014	Megumi Harada Tatsuya Horiguchi Mikiya Masuda
+	Common origin of cubic binomial identities; A generalization of surányi's proof on Le Jen Shoo's formula	1985	László Á. Székely
+ PDF Chat	Poincaré duality and equivariant (co)homology.	2000	Michel Brion
+ PDF Chat	Positivity in equivariant Schubert calculus	2001	William Graham
+	Equivariant cohomology, Koszul duality, and the localization theorem	1997	Mark Goresky Robert Kottwitz Robert MacPherson
+	Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties	2002	Konstanze Rietsch