Blowdown, $k$-wedge and evenness of quasitoric orbifolds

Koushik Brahma; Soumen Sarkar; Subhankar Sau

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arXiv · 1912.07047

Blowdown, $k$-wedge and evenness of quasitoric orbifolds

Koushik Brahma·Soumen Sarkar·Subhankar Sau

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Abstract

In this paper, we introduce polytopal $k$-wedge construction and blowdown of a simple polytope and inspect the effect on the retraction sequence of a simple polytope due to $k$-wedge construction and blowdown. In relation to this construction, we introduce the $k$-wedge and blowdown of a quasitoric orbifold. We compare the torsions in the integral cohomologies of $k$-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.

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BibTeX RIS

Koushik Brahma, Soumen Sarkar, Subhankar Sau. 2019-12-15. Blowdown, $k$-wedge and evenness of quasitoric orbifolds. https://arxiv.org/abs/1912.07047

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