The Witt rings of many flag varieties are exterior algebras

Autor: Hemmert, Tobias, Zibrowius, Marcus
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: The Witt ring of a complex flag variety describes the interesting -- i.e. torsion -- part of its topological KO-theory. We show that for a large class of flag varieties, these Witt rings are exterior algebras, and that the degrees of the generators can be determined by Dynkin diagram combinatorics. Besides full flag varieties, projective spaces, and other varieties whose Witt rings were previously known, this class contains many flag varieties of exceptional types. Complete results are obtained for flag varieties of types G2 and F4. The results also extend to flag varieties over other algebraically closed fields
Comment: corrected parities in Proposition 4.4
Databáze: arXiv