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Boundary
expression for Chern classes of the Hodge bundle on spaces of
cyclic covers
Bryson Owens, Seamus Somerstep and Renzo Cavalieri
Vol. 14 (2021), No. 4, 571–594
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Abstract |
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We compute an explicit formula for the first Chern class of the Hodge bundle over the space of admissible -covers of -pointed rational stable curves as a linear combination of boundary strata. We then apply this formula to give a recursive formula for calculating certain families of Hodge integrals containing . We also consider covers with a -action for which we compute as a linear combination of codimension-2 boundary strata. |
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Keywords
admissible covers, Hodge bundle, tautological classes,
moduli space of curves
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Mathematical Subject Classification 2010
Primary: 14H10
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Milestones
Received: 16 December 2019
Revised: 1 March 2021
Accepted: 28 April 2021
Published: 23 October 2021
Communicated by Michael Jablonski
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Authors |
| Bryson Owens | |
| Department of Mathematics Colorado State University Fort Collins, CO United States |
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| Seamus Somerstep | |
| Department of Mathematics Colorado State University Fort Collins, CO United States |
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| Renzo Cavalieri | |
| Department of Mathematics Colorado State University Fort Collins, CO United States |
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