English

Low-dimensional GKM theory

Algebraic Topology 2022-10-13 v1 Differential Geometry

Abstract

GKM theory is a powerful tool in equivariant topology and geometry that can be used to generalize classical ideas from (quasi)toric manifolds to more general torus actions. After an introduction to the topic this survey focuses on recent results in low dimensions, where the interaction between geometry and combinatorics turns out to be particularly fruitful.

Keywords

Cite

@article{arxiv.2210.06234,
  title  = {Low-dimensional GKM theory},
  author = {Oliver Goertsches and Panagiotis Konstantis and Leopold Zoller},
  journal= {arXiv preprint arXiv:2210.06234},
  year   = {2022}
}

Comments

31 pages, 2 figures

R2 v1 2026-06-28T03:26:45.126Z