Recent Issues |
|
Volume 1, 1997 |
|
Volume 2, 1998 |
|
Volume 3, 1999 |
|
Volume 4, 2000 |
|
Volume 5, 2001 |
|
Volume 6, 2002 |
|
Volume 7, 2003 |
|
Volume 8, 2004 |
|
Volume 9, 2005 |
|
Volume 10, 2006 |
|
Volume 11, 2007 |
|
Volume
12(1) 2008 |
|
Volume
12(2) 2008 |
|
Volume
12(3) 2008 |
|
Volume
12(4) 2008 |
|
Volume
12(5) 2008 |
|
Volume
13(1) 2009 |
|
Volume
13(2) 2009 |
|
Volume
13(3) 2009 |
|
Volume
13(4) 2009 |
|
Volume
13(5) 2009 |
|
Volume
14(1) 2010 |
|
Volume
14(2) 2010 |
|
G&T Monographs |
|
|
|
Standard versus reduced genus-one Gromov–Witten
invariants
Aleksey Zinger
|
|
Geometry and Topology 12:2 (2008)
1203–1241
|
Abstract
|
|
We give an explicit formula for the difference between the standard and reduced
genus-one Gromov–Witten invariants. Combined with previous work on geometric
properties of the latter, this paper makes it possible to compute the standard
genus-one GW-invariants of complete intersections. In particular, we obtain a closed
formula for the genus-one GW-invariants of a Calabi–Yau projective hypersurface
and verify a recent mirror symmetry prediction for a sextic fourfold as a special
case.
|
Keywords
Gromov–Witten invariants, mirror
symmetry
|
Mathematical Subject Classification
Primary: 14D20, 14N35
Secondary: 53D45, 53D99
|
Publication
Received: 3 August 2007
Revised: 17 January 2008
Accepted: 27 February 2008
Published: 25 May 2008
Proposed: Jim Bryan
Seconded: Yasha Eliashberg, Gang Tian
|
|
