Geodesic
Combinatorics of double Grothendieck polynomials
The electronic journal of combinatorics, Tome 31 (2024) no. 4
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We give a thorough combinatorial treatment of double Grothendieck polynomials that is accessible to anyone with a basic knowledge of algebra and combinatorics. The text includes many new combinatorial models for these and related polynomials and provides detailed combinatorial proofs. We generalize the Giambelli formula for double Schubert polynomials to a $k$-theoretic version and our proof specializes to a new combinatorial proof of the former.
DOI : 10.37236/10325
Classification : 05E05, 14M15, 19L47, 05E14
Mots-clés : Schubert class, Schur \(Q\)-functions, isotropic Grassmannians, equivariant K-theory 
@article{10_37236_10325,
     author = {Graham Hawkes},
     title = {Combinatorics of double {Grothendieck} polynomials},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {4},
     doi = {10.37236/10325},
     zbl = {1551.05409},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/10325/}
}
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Graham Hawkes. Combinatorics of double Grothendieck polynomials. The electronic journal of combinatorics, Tome 31 (2024) no. 4. doi: 10.37236/10325

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