@article{27ca7a3de8864a5189e1ac05701f35ee,
title = "Moduli spaces of framed sheaves on certain ruled surfaces over elliptic curves",
abstract = "Fix a ruled surface S obtained as the projective completion of a line bundle L on a complex elliptic curve C; we study the moduli problem of parametrizing certain pairs consisting of a sheaf ℰ on S and a map of ℰ to a fixed reference sheaf on S. We prove that the full moduli stack for this problem is representable by a scheme in some cases. Moreover, the moduli stack admits an action by the group C*, and we determine its fixed-point set, which leads to explicit formulas for the rational homology of the moduli space.",
keywords = "Framed sheaves, Localization, Moduli spaces, Ruled surfaces",
author = "Nevins, {Thomas A.}",
note = "Funding Information: The author is deeply indebted to his dissertation advisor, Kevin Corlette, without whose help, guidance and encouragement this work could never have been completed. The author is also grateful to V. Baranovsky, S. Chang, V. Ginzburg, B. Hassett, R. Lazarsfeld, M. Mandell, R. Narasimhan, S. Nevins, M. Nori, T. Pantev, A. Prasad, and I. Robertson for helpful conversations. The author{\textquoteright}s graduate work, of which this paper is a result, was supported in part by an NDSEG fellowship from the Office of Naval Research. Copyright: Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.",
year = "2002",
month = dec,
doi = "10.1142/S0129167X02001599",
language = "English (US)",
volume = "13",
pages = "1117--1151",
journal = "International Journal of Mathematics",
issn = "0129-167X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "10",
}