In this paper we review the combinatorics of the twisted sectors ofg,n, and we exhibit a formula for the age of each of them in terms of the combinatorial data. Then we show that orbifold cohomology of Mg,nwhen g → ∞ reduces to its ordinary cohomology. We do this by showing that the twisted sector of minimum age is always the hyperelliptic twisted sector with all markings in theWeierstrass points; the age of the latter moduli space is just half its codimension in Mg,n. © 2014 Mathematical Sciences Publishers.
Pagani, N. (2014). Harer stability and orbifold cohomology. PACIFIC JOURNAL OF MATHEMATICS, 267(2), 465-477 [10.2140/pjm.2014.267.465].
Harer stability and orbifold cohomology
Pagani, Nicola
2014
Abstract
In this paper we review the combinatorics of the twisted sectors ofg,n, and we exhibit a formula for the age of each of them in terms of the combinatorial data. Then we show that orbifold cohomology of Mg,nwhen g → ∞ reduces to its ordinary cohomology. We do this by showing that the twisted sector of minimum age is always the hyperelliptic twisted sector with all markings in theWeierstrass points; the age of the latter moduli space is just half its codimension in Mg,n. © 2014 Mathematical Sciences Publishers.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
