Wonderful symmetric varieties and Schubert polynomials
Ars Mathematica Contemporanea, Tome 15 (2018) no. 2, pp. 523-542.

Voir la notice de l'article provenant de la source Ars Mathematica Contemporanea website

Extending results of Wyser, we determine formulas for the equivariant cohomology classes of closed orbits of certain families of spherical subgroups of the general linear group on the flag variety. Combining this with a slight extension of results of Can, Joyce and Wyser, we arrive at a family of polynomial identities which show that certain explicit sums of Schubert polynomials factor as products of linear forms.
DOI : 10.26493/1855-3974.1062.ba8
Keywords: Symmetric varieties, Schubert polynomials, wonderful compactification, equivariant cohomology, weak order, parabolic induction
@article{10_26493_1855_3974_1062_ba8,
     author = {Mahir Bilen Can and Michael Joyce and Benjamin Wyser},
     title = {Wonderful symmetric varieties and {Schubert} polynomials},
     journal = {Ars Mathematica Contemporanea},
     pages = {523--542},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2018},
     doi = {10.26493/1855-3974.1062.ba8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1062.ba8/}
}
TY  - JOUR
AU  - Mahir Bilen Can
AU  - Michael Joyce
AU  - Benjamin Wyser
TI  - Wonderful symmetric varieties and Schubert polynomials
JO  - Ars Mathematica Contemporanea
PY  - 2018
SP  - 523
EP  - 542
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1062.ba8/
DO  - 10.26493/1855-3974.1062.ba8
LA  - en
ID  - 10_26493_1855_3974_1062_ba8
ER  - 
%0 Journal Article
%A Mahir Bilen Can
%A Michael Joyce
%A Benjamin Wyser
%T Wonderful symmetric varieties and Schubert polynomials
%J Ars Mathematica Contemporanea
%D 2018
%P 523-542
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1062.ba8/
%R 10.26493/1855-3974.1062.ba8
%G en
%F 10_26493_1855_3974_1062_ba8
Mahir Bilen Can; Michael Joyce; Benjamin Wyser. Wonderful symmetric varieties and Schubert polynomials. Ars Mathematica Contemporanea, Tome 15 (2018) no. 2, pp. 523-542. doi : 10.26493/1855-3974.1062.ba8. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1062.ba8/

Cité par Sources :