Quantum Schubert Calculus
β Scribed by Aaron Bertram
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 343 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We develop numerical homotopy algorithms for solving systems of polynomial equations arising from the classical Schubert calculus. These homotopies are optimal in that generically no paths diverge. For problems defined by hypersurface Schubert conditions we give two algorithms based on extrinsic def
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In this paper we extend the work of Fomin and Greene on noncommutative Schur functions by defining noncommutative analogs of Schubert polynomials. If the variables satisfy certain relations (essentially the same as those needed in the theory of noncommutative Schur functions), we prove a Pieri-type
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We introduce and study certain quadratic Hopf algebras related to Schubert calculus of the flag manifold.