Virtual normalization and virtual fundamental classes
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- by Alberto López Martín PDF
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Abstract:
In this paper, we compare the virtual fundamental classes of the stacks of $(g,\beta ,\mu )$-stable ramified maps $\overline {\mathfrak U}_{g,\mu }(X,\beta )$ and of $(g,\beta ,\mu )$-log stable ramified maps $\overline {\mathfrak U}^{\mathrm {log}}_{g,\mu }(X,\beta )$. For that we will see how they are identified via virtual normalization and then apply Costello’s push-forward formula.References
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Additional Information
- Alberto López Martín
- Affiliation: Institut für Mathematik, Universität Zürich-Irchel, Zürich, CH-8057, Switzerland
- Address at time of publication: Department of Mathematics, Bromfield-Pearson Hall, Tufts University, 503 Boston Avenue, Medford, Massachusetts 02155
- MR Author ID: 920517
- ORCID: 0000-0002-8716-8134
- Email: alopez@math.uzh.ch, alberto.lopez@tufts.edu
- Received by editor(s): September 15, 2010
- Received by editor(s) in revised form: December 22, 2010, and February 18, 2011
- Published electronically: November 4, 2011
- Additional Notes: The author was supported in part by the Swiss National Science Foundation project 200020_126756.
- Communicated by: Lev Borisov
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 2235-2240
- MSC (2010): Primary 14A20; Secondary 14D23
- DOI: https://doi.org/10.1090/S0002-9939-2011-11089-X
- MathSciNet review: 2898687