Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types
In this note, we study equivariant versions of Stolz's -groups, the positive scalar curvature structure groups ˢᵖⁱⁿₙ()ᴳ, for proper actions of discrete groups . We define the concept of a fundamental groupoid functor for a -space, encapsulating all the fundamental group information of all the f...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2025 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/214190 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types. Massimiliano Puglisi, Thomas Schick and Vito Felice Zenobi. SIGMA 21 (2025), 093, 19 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862717644165087232 |
|---|---|
| author | Puglisi, Massimiliano Schick, Thomas Zenobi, Vito Felice |
| author_facet | Puglisi, Massimiliano Schick, Thomas Zenobi, Vito Felice |
| citation_txt | Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types. Massimiliano Puglisi, Thomas Schick and Vito Felice Zenobi. SIGMA 21 (2025), 093, 19 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this note, we study equivariant versions of Stolz's -groups, the positive scalar curvature structure groups ˢᵖⁱⁿₙ()ᴳ, for proper actions of discrete groups . We define the concept of a fundamental groupoid functor for a -space, encapsulating all the fundamental group information of all the fixed point sets and their relations. We construct classifying spaces for fundamental groupoid functors. As a geometric result, we show that Stolz's equivariant -group ˢᵖⁱⁿₙ()ᴳ depends only on the fundamental groupoid functor of the reference space . The proof covers, at the same time, in a concise and clear way, the classical non-equivariant case.
|
| first_indexed | 2026-03-20T17:42:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-214190 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-20T17:42:27Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Puglisi, Massimiliano Schick, Thomas Zenobi, Vito Felice 2026-02-20T07:59:38Z 2025 Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types. Massimiliano Puglisi, Thomas Schick and Vito Felice Zenobi. SIGMA 21 (2025), 093, 19 pages 1815-0659 2020 Mathematics Subject Classification: 57R91; 57R90; 53C27; 53C21 arXiv:2412.07955 https://nasplib.isofts.kiev.ua/handle/123456789/214190 https://doi.org/10.3842/SIGMA.2025.093 In this note, we study equivariant versions of Stolz's -groups, the positive scalar curvature structure groups ˢᵖⁱⁿₙ()ᴳ, for proper actions of discrete groups . We define the concept of a fundamental groupoid functor for a -space, encapsulating all the fundamental group information of all the fixed point sets and their relations. We construct classifying spaces for fundamental groupoid functors. As a geometric result, we show that Stolz's equivariant -group ˢᵖⁱⁿₙ()ᴳ depends only on the fundamental groupoid functor of the reference space . The proof covers, at the same time, in a concise and clear way, the classical non-equivariant case. The authors thank the referees for the careful reading of the paper, improving the presentation, and helping to avoid inaccuracies. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types Article published earlier |
| spellingShingle | Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types Puglisi, Massimiliano Schick, Thomas Zenobi, Vito Felice |
| title | Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types |
| title_full | Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types |
| title_fullStr | Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types |
| title_full_unstemmed | Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types |
| title_short | Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types |
| title_sort | stolz positive scalar curvature structure groups, proper actions and equivariant 2-types |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/214190 |
| work_keys_str_mv | AT puglisimassimiliano stolzpositivescalarcurvaturestructuregroupsproperactionsandequivariant2types AT schickthomas stolzpositivescalarcurvaturestructuregroupsproperactionsandequivariant2types AT zenobivitofelice stolzpositivescalarcurvaturestructuregroupsproperactionsandequivariant2types |