Geodesic
Mutations of puzzles and equivariant cohomology of two-step flag varieties
Anders Skovsted Buch1
1 Rutgers University, Piscataway, NJ
Annals of mathematics, Tome 182 (2015) no. 1, pp. 173-220.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We introduce a mutation algorithm for puzzles that is a three-direction analogue of the classical jeu de taquin algorithm for semistandard tableaux. We apply this algorithm to prove our conjectured puzzle formula for the equivariant Schubert structure constants of two-step flag varieties. This formula gives an expression for the structure constants that is positive in the sense of Graham. Thanks to the equivariant version of the `quantum equals classical’ result, our formula specializes to a Littlewood-Richardson rule for the equivariant quantum cohomology of Grassmannians.
DOI : 10.4007/annals.2015.182.1.4

Anders Skovsted Buch 1

1 Rutgers University, Piscataway, NJ 
@article{10_4007_annals_2015_182_1_4,
     author = {Anders Skovsted Buch},
     title = {Mutations of puzzles and equivariant cohomology of two-step flag varieties},
     journal = {Annals of mathematics},
     pages = {173--220},
     publisher = {mathdoc},
     volume = {182},
     number = {1},
     year = {2015},
     doi = {10.4007/annals.2015.182.1.4},
     mrnumber = {3374959},
     zbl = {06456008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.182.1.4/}
}
TY  - JOUR
AU  - Anders Skovsted Buch
TI  - Mutations of puzzles and equivariant cohomology of two-step flag varieties
JO  - Annals of mathematics
PY  - 2015
SP  - 173
EP  - 220
VL  - 182
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.182.1.4/
DO  - 10.4007/annals.2015.182.1.4
LA  - en
ID  - 10_4007_annals_2015_182_1_4
ER  - 
%0 Journal Article
%A Anders Skovsted Buch
%T Mutations of puzzles and equivariant cohomology of two-step flag varieties
%J Annals of mathematics
%D 2015
%P 173-220
%V 182
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.182.1.4/
%R 10.4007/annals.2015.182.1.4
%G en
%F 10_4007_annals_2015_182_1_4
Anders Skovsted Buch. Mutations of puzzles and equivariant cohomology of two-step flag varieties. Annals of mathematics, Tome 182 (2015) no. 1, pp. 173-220. doi : 10.4007/annals.2015.182.1.4. http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.182.1.4/

Cité par Sources :