Equivariant bordism of 2-torus manifolds and unitary toric manifolds--a survey

TL;DR

This survey reviews recent advances in the classification of 2-torus manifolds and unitary toric manifolds using equivariant bordism theory, highlighting key results and ongoing research directions.

Contribution

It compiles and discusses recent progress and results in the equivariant bordism classification of these manifolds, providing a comprehensive overview.

Findings

Summarizes key classification results

Highlights recent progress in equivariant bordism

Identifies open problems and future directions

Abstract

In this paper we survey results and recent progresses on the equivariant bordism classification of 2-torus manifolds and unitary toric manifolds.