Braid groups of the projective plane, mapping class groups of non-orientable surfaces and algebraic K-theory of their group rings
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909766285000704 |
|---|---|
| author | Guaschi, John Juan-Pineda, Daniel |
| author_facet | Guaschi, John Juan-Pineda, Daniel |
| contents | We describe the lower algebraic $K$-theory of the integral group ring of both the pure and full braid groups of the real projective plane $\mathbb{R}P^2$ with $3$ strings, as well as that of the integral group ring of the mapping class group of $\mathbb{R}P^2$ with $3$ marked points. In addition, we give a general formula for the algebraic $K$-theory groups of the group ring of the mapping class group of non-orientable surfaces with k marked points, where $k \geq 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02195 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Braid groups of the projective plane, mapping class groups of non-orientable surfaces and algebraic K-theory of their group rings Guaschi, John Juan-Pineda, Daniel Geometric Topology K-Theory and Homology We describe the lower algebraic $K$-theory of the integral group ring of both the pure and full braid groups of the real projective plane $\mathbb{R}P^2$ with $3$ strings, as well as that of the integral group ring of the mapping class group of $\mathbb{R}P^2$ with $3$ marked points. In addition, we give a general formula for the algebraic $K$-theory groups of the group ring of the mapping class group of non-orientable surfaces with k marked points, where $k \geq 3$. |
| title | Braid groups of the projective plane, mapping class groups of non-orientable surfaces and algebraic K-theory of their group rings |
| topic | Geometric Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2509.02195 |