PreprintCC BY 4.0HAL
Monodromy and big quantum cohomology of hyperplane sections of (co)adjoint varieties
Abstract
We study the monodromy representation of general hyperplane sections of (co)adjoint varieties. We apply this result to reduce the generic semisemplicity of the big quantum cohomology to its ambient part, and to prove that the big quantum cohomology of general hyperplane sections of IGr(2, 6) is generically semisimple and satisfies Dubrovin's conjecture.
Related
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BibTeX
@misc{benedetti2026monodromy,
title = {{Monodromy and big quantum cohomology of hyperplane sections of (co)adjoint varieties}},
author = {Vladimiro Benedetti and Simone Billi and Nicolas Perrin},
howpublished = {HAL},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26037},
eprint = {2610.26037},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05801904v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Monodromy and big quantum cohomology of hyperplane sections of (co)adjoint varieties
AU - Vladimiro Benedetti
AU - Simone Billi
AU - Nicolas Perrin
PY - 2026
DA - 2026/10/13
PB - HAL
DO - 10.48550/arxiv.2610.26037
UR - https://hal.science/hal-05801904v1
AB - We study the monodromy representation of general hyperplane sections of (co)adjoint varieties. We apply this result to reduce the generic semisemplicity of the big quantum cohomology to its ambient part, and to prove that the big quantum cohomology of general hyperplane sections of IGr(2, 6) is generically semisimple and satisfies Dubrovin's conjecture.
ER -