Results 51 to 60 of about 12,587 (151)
Schubert calculus for algebraic cobordism
, 2010 We establish a Schubert calculus for Bott-Samelson resolutions in the algebraic cobordism ring of a complete flag variety G/B.Comment: 27 pages, Appendix added, slightly abridged version to appear in ...
Hornbostel, Jens, Kiritchenko, Valentina
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Schubert Calculus and the Homology of the Peterson Variety [PDF]
The Electronic Journal of Combinatorics, 2015 We use the tight correlation between the geometry of the Peterson variety and the combinatorics the symmetric group to prove that homology of the Peterson variety injects into the homology of the flag variety. Our proof counts the points of intersection between certain Schubert varieties in the full flag variety and the Peterson variety, and shows that
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Galois groups of Schubert problems via homotopy computation
, 2007 Numerical homotopy continuation of solutions to polynomial equations is the foundation for numerical algebraic geometry, whose development has been driven by applications of mathematics.
Leykin, Anton, Sottile, Frank
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Billey's formula in combinatorics, geometry, and topology [PDF]
, 2013 In this expository paper we describe a powerful combinatorial formula and its implications in geometry, topology, and algebra. This formula first appeared in the appendix of a book by Andersen, Jantzen, and Soergel.
Tymoczko, Julianna S.
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Quantum cohomology of the Lagrangian Grassmannian
, 2003 Let V be a symplectic vector space and LG be the Lagrangian Grassmannian which parametrizes maximal isotropic subspaces in V. We give a presentation for the (small) quantum cohomology ring QH^*(LG) and show that its multiplicative structure is determined
Kresch, Andrew, Tamvakis, Harry
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Gysin maps, duality and Schubert classes
, 2019 We establish a Gysin formula for Schubert bundles and a strong version of the duality theorem in Schubert calculus on Grassmann bundles. We then combine them to compute the fundamental classes of Schubert bundles in Grassmann bundles, which yields a new ...
Darondeau, Lionel, Pragacz, Piotr
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, 2012 In this paper we study the T-equivariant generalized cohomology of flag varieties using two models, the Borel model and the moment graph model. We study the differences between the Schubert classes and the Bott-Samelson classes. After setup of the general framework we compute, for classes of Schubert varieties of complex dimension <4 in rank 2 ...
Ganter, Nora, Ram, Arun
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Lower bounds in real Schubert calculus
The São Paulo Journal of Mathematical Sciences, 2013 22 ...
Hein, Nickolas +2 more
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Connecting N-representability to Weyl's problem: The one particle density matrix for N = 3 and R = 6
, 2007 An analytic proof is given of the necessity of the Borland-Dennis conditions for 3-representability of a one particle density matrix with rank 6. This may shed some light on Klyachko's recent use of Schubert calculus to find general conditions for N ...
Altunbulak M Klyachko A +6 more
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Positivity of Peterson Schubert calculus
Advances in MathematicsTo appear in Advances in Mathematics. 31 pages, 1 table. Modifications: - Expanded introduction; - Improved explanation of the equivariant naturality of Peterson varieties; - Modified Theorem 1.1 to make explicit the positive integrality of pairing; - Added corollary and remark to make explicit extension to integral cohomology (Cor 3.8, Rmk 3.9 ...
Goldin, Rebecca +2 more
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