Geodesic
Young diagrams and intersection numbers for toric manifolds associated with Weyl chambers
Hiraku Abe1
1Osaka City University Advanced Mathematical Institute
The electronic journal of combinatorics, Tome 22 (2015) no. 2
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We study intersection numbers of invariant divisors in the toric manifold associated with the fan determined by the collection of Weyl chambers for each root system of classical type and of exceptional type $G_2$. We give a combinatorial formula for intersection numbers of certain subvarieties which are naturally indexed by elements of the Weyl group. These numbers describe the ring structure of the cohomology of the toric manifold.
DOI : 10.37236/4307
Classification : 14M25, 17B22, 13F55
Mots-clés : Young diagrams, intersection numbers, toric varieties, structure constants

Hiraku Abe  1

1 Osaka City University Advanced Mathematical Institute 
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     author = {Hiraku Abe},
     title = {Young diagrams and intersection numbers for toric manifolds associated with {Weyl} chambers},
     journal = {The electronic journal of combinatorics},
     year = {2015},
     volume = {22},
     number = {2},
     doi = {10.37236/4307},
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Hiraku Abe. Young diagrams and intersection numbers for toric manifolds associated with Weyl chambers. The electronic journal of combinatorics, Tome 22 (2015) no. 2. doi: 10.37236/4307

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