Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.22418 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917520009592832 |
|---|---|
| author | Magalhães, Pedro Sopena-Gilboy, Anna |
| author_facet | Magalhães, Pedro Sopena-Gilboy, Anna |
| contents | We introduce a functor from cochain complexes to bicomplexes, called inflation functor, which sends quasi-isomorphisms to the class of pluripotential weak equivalences. We show this functor is part of a Quillen adjunction. Its right adjoint is a well-known construction in complex geometry, which gives a sheaf-theoretic presentation of Bott-Chern and Aeppli cohomologies. The inflation functor plays a key role in pluripotential Koszul duality theory for operads and allows us to construct the infinity-category of bicomplexes in the pluripotential sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22418 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The inflation functor in pluripotential homological algebra Magalhães, Pedro Sopena-Gilboy, Anna Algebraic Topology We introduce a functor from cochain complexes to bicomplexes, called inflation functor, which sends quasi-isomorphisms to the class of pluripotential weak equivalences. We show this functor is part of a Quillen adjunction. Its right adjoint is a well-known construction in complex geometry, which gives a sheaf-theoretic presentation of Bott-Chern and Aeppli cohomologies. The inflation functor plays a key role in pluripotential Koszul duality theory for operads and allows us to construct the infinity-category of bicomplexes in the pluripotential sense. |
| title | The inflation functor in pluripotential homological algebra |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2605.22418 |