We study the cohomology ring of the configuration space of unordered points in the two-dimensional torus. In particular, we compute the mixed Hodge structure on the cohomology, the action of the mapping class group, the structure of the cohomology ring and we prove the formality over the rationals.
The cohomology rings of the unordered configuration spaces of elliptic curves / Pagaria, Roberto. - In: ALGEBRAIC AND GEOMETRIC TOPOLOGY. - ISSN 1472-2739. - STAMPA. - 20:6(2020), pp. 2995-3012. [10.2140/agt.2020.20.2995]
The cohomology rings of the unordered configuration spaces of elliptic curves
Pagaria, Roberto
Primo
2020
Abstract
We study the cohomology ring of the configuration space of unordered points in the two-dimensional torus. In particular, we compute the mixed Hodge structure on the cohomology, the action of the mapping class group, the structure of the cohomology ring and we prove the formality over the rationals.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
main.pdf
accesso aperto
Tipo:
Postprint
Licenza:
Licenza per accesso libero gratuito
Dimensione
1.13 MB
Formato
Adobe PDF
|
1.13 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
