PreprintarXiv licencearXiv
Injectivity of specialization maps in critical cohomology
Abstract
Specialization maps are natural maps from equivariant vanishing cycle cohomology to the equivariant cohomology of the ambient space. We study their injectivity problem for moduli stacks of representations of quivers with potentials, including those associated with generalized conifolds and finite subgroups of SO(3,ℂ). Applications to the irreducibility of modules of Reshetikhin type shifted Yangians are also given.
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BibTeX
@misc{cao2026injectivity,
title = {{Injectivity of specialization maps in critical cohomology}},
author = {Yalong Cao},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11565},
eprint = {2610.11565},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11565},
}
RIS
TY - UNPB
TI - Injectivity of specialization maps in critical cohomology
AU - Yalong Cao
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.11565
UR - https://arxiv.org/abs/2610.11565
AB - Specialization maps are natural maps from equivariant vanishing cycle cohomology to the equivariant cohomology of the ambient space. We study their injectivity problem for moduli stacks of representations of quivers with potentials, including those associated with generalized conifolds and finite subgroups of SO(3,ℂ). Applications to the irreducibility of modules of Reshetikhin type shifted Yangians are also given.
ER -