The tautological ring of $M_{1,n}^{ct}$

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1. E. Arbarello, M. Cornalba, Calculating cohomology groups of moduli spaces of curves via algebraic geometry, Inst. Hautes Études Sci. Publ. Math. (1998), 97-127 (1999) Zbl0991.14012MR1733327
2. M. Cornalba, On the projectivity of the moduli spaces of curves, J. Reine Angew. Math. 443 (1993), 11-20 Zbl0781.14017MR1241126
3. C. Faber, A conjectural description of the tautological ring of the moduli space of curves, Moduli of curves and abelian varieties (1999), 109-129, Vieweg, Braunschweig Zbl0978.14029MR1722541
4. C. Faber, Hodge integrals, tautological classes and Gromov-Witten theory, Proceedings of the Workshop “Algebraic Geometry and Integrable Systems related to String Theory” (Kyoto, 2000) (2001), 78-87 Zbl1322.14084MR1905884
5. C. Faber, A remark on a conjecture of Hain and Looijenga, (2008) Zbl1278.14037
6. C. Faber, R. Pandharipande, Logarithmic series and Hodge integrals in the tautological ring, Michigan Math. J. 48 (2000), 215-252 Zbl1090.14005MR1786488
7. C. Faber, R. Pandharipande, Hodge integrals, partition matrices, and the ${\lambda }_g$ conjecture, Annals of mathematics (2003), 97-124 Zbl1058.14046MR1954265
8. C. Faber, R. Pandharipande, Relative maps and tautological classes, J. Eur. Math. Soc. (JEMS) 7 (2005), 13-49 Zbl1084.14054MR2120989
9. W. Fulton, R. MacPherson, A compactification of configuration spaces, Ann. of Math. (2) 139 (1994), 183-225 Zbl0820.14037MR1259368
10. E. Getzler, Intersection theory on ${\overline{M}}_{1,4}$ and elliptic Gromov-Witten invariants, Journal of the American Mathematical Society 10 (1997) Zbl0909.14002MR1451505
11. T. Graber, R. Pandharipande, Constructions of nontautological classes on moduli spaces of curves, Michigan Math. J. 51 (2003), 93-109 Zbl1079.14511MR1960923
12. T. Graber, R. Vakil, Relative virtual localization and vanishing of tautological classes on moduli spaces of curves, Duke Math. J. 130 (2005), 1-37 Zbl1088.14007MR2176546
13. M. Green, P. Griffiths, An interesting 0-cycle, Duke Math. J. 119 (2003), 261-313 Zbl1058.14014MR1997947
14. R. Hain, E. Looijenga, Mapping class groups and moduli spaces of curves, Algebraic geometry—Santa Cruz 1995 62 (1997), 97-142, Amer. Math. Soc., Providence, RI Zbl0914.14013MR1492535
15. P. Hanlon, D. Wales, On the decomposition of Brauer’s centralizer algebras, J. Algebra 121 (1989), 409-445 Zbl0695.20026MR992775
16. S. Keel, Intersection theory of moduli space of stable $n$-pointed curves of genus zero, Trans. Amer. Math. Soc. 330 (1992), 545-574 Zbl0768.14002MR1034665
17. R. Pandharipande, A geometric construction of Getzler’s elliptic relation, Math. Ann. 313 (1999), 715-729 Zbl0933.14035MR1686935

1. Carel Faber, A remark on a conjecture of Hain and Looijenga