Schubert calculus for algebraic cobordism

By J. Hornbostel, Valentina Kiritchenko. 2009

48 citations recorded by the source corpus.

Abstract We establish a Schubert calculus for Bott–Samelson resolutions in the algebraic cobordism ring of a complete flag variety G/B extending the results of Bressler–Evens [Trans. Amer. Math. Soc. 331: 799–813, 1992] to the algebro-geometric setting.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8607a9a333a1885a61e0bd4ada898e7cefa0c47a

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In Discrete Mathematics and Combinatorics

1. B. Calmès
2. V. Petrov
3. Changlong Zhong
4. K. Zainoulline

In Geometry and Topology

1. B. Calmès
2. V. Petrov
3. Changlong Zhong
4. K. Zainoulline

In Mathematical Physics

1. B. Calmès
2. V. Petrov
3. Changlong Zhong
4. K. Zainoulline

Citations in the corpus

• Invariants, torsion indices and oriented cohomology of complete flags (2009, background): “A G ] 8 A pr 2 01 0 INVARIANTS, TORSION INDICES AND ORIENTED COHOMOLOGY OF COMPLETE FLAGS”
• Equivariant oriented cohomology of flag varieties (2014, methodology): “These results were extended later to the algebro-geometric setting independently in [HK] and [CPZ]; in the latter, the approach is algebraic as in [D73, D74] and an efficient algorithm for multiplying Bott-Samelson classes [CPZ, §15] is provided.”