Polyhedral products and features of their homotopy theory
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2019
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929473131118592 |
|---|---|
| author | Bahri, A. Bendersky, M. Cohen, F. R. |
| author_facet | Bahri, A. Bendersky, M. Cohen, F. R. |
| contents | A polyhedral product is a natural subspace of a Cartesian product that is specified by a simplicial complex. The modern formalism arose as a generalization of the spaces known as moment-angle complexes which were developed within the nascent subject of toric topology. This field, which began as a topological approach to toric geometry and aspects of symplectic geometry, has expanded rapidly in recent years. The investigation of polyhedral products and their homotopy theoretic properties has developed to the point where they are studied in various fields of mathematics far removed from their origin. In this survey, we provide a brief historical overview of the development of this subject, summarize many of the main results and describe applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_04114 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Polyhedral products and features of their homotopy theory Bahri, A. Bendersky, M. Cohen, F. R. Algebraic Topology Commutative Algebra Combinatorics History and Overview 55P42, 55Q15, 52C35, 52B11, 35S22, 13F55 A polyhedral product is a natural subspace of a Cartesian product that is specified by a simplicial complex. The modern formalism arose as a generalization of the spaces known as moment-angle complexes which were developed within the nascent subject of toric topology. This field, which began as a topological approach to toric geometry and aspects of symplectic geometry, has expanded rapidly in recent years. The investigation of polyhedral products and their homotopy theoretic properties has developed to the point where they are studied in various fields of mathematics far removed from their origin. In this survey, we provide a brief historical overview of the development of this subject, summarize many of the main results and describe applications. |
| title | Polyhedral products and features of their homotopy theory |
| topic | Algebraic Topology Commutative Algebra Combinatorics History and Overview 55P42, 55Q15, 52C35, 52B11, 35S22, 13F55 |
| url | https://arxiv.org/abs/1903.04114 |