DOAJ Open Access 2014

Flag Gromov-Witten invariants via crystals

Jennifer Morse Anne Schilling

Lihat Sumber DOI

Abstrak

We apply ideas from crystal theory to affine Schubert calculus and flag Gromov-Witten invariants. By defining operators on certain decompositions of elements in the type-$A$ affine Weyl group, we produce a crystal reflecting the internal structure of Specht modules associated to permutation diagrams. We show how this crystal framework can be applied to study the product of a Schur function with a $k$-Schur function. Consequently, we prove that a subclass of 3-point Gromov-Witten invariants of complete flag varieties for $\mathbb{C}^n$ enumerate the highest weight elements under these operators.

Topik & Kata Kunci

Mathematics

Penulis (2)

Jennifer Morse

Anne Schilling

Format Sitasi

APA MLA BibTeX

Morse, J., Schilling, A. (2014). Flag Gromov-Witten invariants via crystals. https://doi.org/10.46298/dmtcs.2417

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2417

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2417
Akses: Open Access ✓