PreprintarXiv licencearXiv
The moduli space of maps from hypersurfaces and its Goodwillie tower
Abstract
We define a moduli space of continuous maps from smooth hypersurfaces varying in an ample linear system. To study its topology, we construct a scanning map to an appropriate section space and investigate its effect on homology. Our main innovation is a general argument based on Goodwillie calculus and applicable to various moduli spaces of maps. Along the way, we compute the Goodwillie tower of the section space functor based at any retractive space.
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BibTeX
@misc{aumonier2026moduli,
title = {{The moduli space of maps from hypersurfaces and its Goodwillie tower}},
author = {Alexis Aumonier},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28809},
eprint = {2610.28809},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28809},
}
RIS
TY - UNPB
TI - The moduli space of maps from hypersurfaces and its Goodwillie tower
AU - Alexis Aumonier
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28809
UR - https://arxiv.org/abs/2610.28809
AB - We define a moduli space of continuous maps from smooth hypersurfaces varying in an ample linear system. To study its topology, we construct a scanning map to an appropriate section space and investigate its effect on homology. Our main innovation is a general argument based on Goodwillie calculus and applicable to various moduli spaces of maps. Along the way, we compute the Goodwillie tower of the section space functor based at any retractive space.
ER -