TL;DR
This paper explores extending Schubert and Grothendieck polynomials to a broader algebraic framework using formal group laws, aiming to unify their theory within algebraic oriented cohomology.
Contribution
It introduces a generalized approach to Schubert polynomials applicable to any algebraic oriented cohomology theory via formal group laws.
Findings
Unified framework for Schubert polynomials and formal group laws
Extension to arbitrary algebraic oriented cohomology theories
Potential for new applications in algebraic geometry
Abstract
Present notes can be viewed as an attempt to extend the notion of Schubert/Grothendieck polynomial to the context of an arbitrary algebraic oriented cohomology theory and, hence, of a commutative one-dimensional formal group law.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Algebra and Geometry · Algebraic structures and combinatorial models