|
|||||
 |
|
|
|
|
|
|
|
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
|
Abstract |
|
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. |
PDF Access Denied
We have not been able to recognize your IP address
18.217.228.35
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 30.00:
Keywords
admissible covers, Hodge bundle, tautological classes,
moduli space of curves
|
Mathematical Subject Classification 2010
Primary: 14H10
|
Milestones
Received: 16 December 2019
Revised: 1 March 2021
Accepted: 28 April 2021
Published: 23 October 2021
Communicated by Michael Jablonski
|
Authors |
| Bryson Owens | |
| Department of Mathematics Colorado State University Fort Collins, CO United States |
|
| Seamus Somerstep | |
| Department of Mathematics Colorado State University Fort Collins, CO United States |
|
| Renzo Cavalieri | |
| Department of Mathematics Colorado State University Fort Collins, CO United States |
|
