Blowdown, $k$-wedge and evenness of quasitoric orbifolds
Abstract
In this paper, we introduce polytopal -wedge construction and blowdown of a simple polytope and inspect the effect on the retraction sequence of a simple polytope due to -wedge construction and blowdown. In relation to this construction, we introduce the -wedge and blowdown of a quasitoric orbifold. We compare the torsions in the integral cohomologies of -wedges and blowdowns of a quasitoric orbifold with the original one. These two constructions provide infinitely many integrally equivariantly formal quasitoric orbifolds from a given one.
Keywords
Cite
@article{arxiv.1912.07047,
title = {Blowdown, $k$-wedge and evenness of quasitoric orbifolds},
author = {Koushik Brahma and Soumen Sarkar and Subhankar Sau},
journal= {arXiv preprint arXiv:1912.07047},
year = {2023}
}
Comments
22 pages, 11 figures; The paper is subdivided into two parts. First part contains results related to torsion in the blowup of quasitoric orbifolds and it can be found in https://doi.org/10.1016/j.topol.2021.107666. This upload is the second part. The article has been reorganized and several changes have been done. All comments are welcome