Resolution of singularities of toric orbifolds and equivariant cobordism of contact toric manifolds

Koushik Brahma; Soumen Sarkar; Subhankar Sau

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arXiv · 2203.09449

Resolution of singularities of toric orbifolds and equivariant cobordism of contact toric manifolds

Koushik Brahma·Soumen Sarkar·Subhankar Sau

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Abstract

Toric orbifolds are a generalization of simplicial projective toric varieties. In this paper, we show that there is a resolution of singularities of a toric orbifold. In a different category, the class of quasi-contact toric manifolds contains the class of good contact toric manifolds. We prove that a quasi-contact toric manifold is equivariantly a boundary. Moreover, we conclude that good contact toric manifolds and generalized lens spaces are equivariantly boundaries.

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Koushik Brahma, Soumen Sarkar, Subhankar Sau. 2022-03-17. Resolution of singularities of toric orbifolds and equivariant cobordism of contact toric manifolds. https://arxiv.org/abs/2203.09449

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