Tautological pairings on moduli spaces of curves
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- by Renzo Cavalieri and Stephanie Yang PDF
- Proc. Amer. Math. Soc. 139 (2011), 51-62 Request permission
Abstract:
We discuss analogs of Faber’s conjecture for two nested sequences of partial compactifications of the moduli space of smooth pointed curves. We show that their tautological rings are one-dimensional in top degree but sometimes do not satisfy Poincaré duality.References
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Additional Information
- Renzo Cavalieri
- Affiliation: Department of Mathematics, Colorado State University, Weber Building, Fort Collins, Colorado 80523-1874
- MR Author ID: 734177
- Email: renzo@math.colostate.edu
- Stephanie Yang
- Affiliation: Institutionen för Matematik, Kungliga Tekniska Högskolan, 100 44 Stockholm, Sweden
- Email: stpyang@math.kth.se
- Received by editor(s): February 24, 2009
- Received by editor(s) in revised form: April 26, 2009, September 1, 2009, December 1, 2009, and January 29, 2010
- Published electronically: August 23, 2010
- Communicated by: Ted Chinburg
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 51-62
- MSC (2010): Primary 14N35
- DOI: https://doi.org/10.1090/S0002-9939-2010-10619-6
- MathSciNet review: 2729070