|
Aleksey Zinger
Department of Mathematics
       
Stont Brook |
Publications and Preprints
Note:
Some of the linked .pdf files are difficult to read on
the screen, but they still should print out fine.
For short summaries of all papers and a diagram of connections between the papers,
please see either the .ps
or .pdf version
of Publication and Preprints.
- A comparison theorem for Gromov-Witten invariants
in the symplectic category,
math/0807.0805, 29 pages
(.ps, .pdf)
- Enumerative geometry of Calabi-Yau 5-folds,
joint with R. Pandharipande, math/0802.1640, 40 pages, 3 tables, 6 figures
(.ps, .pdf)
Appendix, 6 pages
(.ps, .pdf)
- Some properties of hypergeometric series associated with mirror symmetry,
joint with D. Zagier, math/0710.0889, 14 pages,
to appear Modular Forms and String
Duality, The Fields Institute Communications, Volume 54
(.ps, .pdf)
- Standard vs. reduced genus-one Gromov-Witten invariants,
math/0706.0715, Geom.& Top. 12 (2008), no. 2, 1203-1241
(.ps, .pdf)
- Genus-zero two-point hyperplane integrals in the Gromov-Witten theory,
math/0705.2725, 32 pages, 4 figures
(.ps, .pdf)
- The reduced genus-one Gromov-Witten invariants of Calabi-Yau hypersurfaces,
math/0705.2397, 48 pages, 5 figures, to appear in JAMS
(.ps, .pdf)
- Pseudocycles and integral homology,
2 figures, Trans. AMS 360 (2008), 2741-2765
(.ps, .pdf)
Older, more technical/direct version:
math.AT/0605535, 37 pages, 3 figures
(.ps, .pdf)
- Intersections of tautological classes on blowups of moduli spaces of
genus-one curves,
math.AG/0603357, 5 figures, Mich. Math. 55 (2007), no 3, 535-560
(.ps, .pdf)
- A desingularization of the main component of
the moduli space of genus-one stable maps into Pn,
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joint with R. Vakil, math.AG/0603353, 13 figures,
Geom. Top. 12 (2008), 1-95
(.ps, .pdf)
Overview (independent): 2 figures, ERA AMS 13 (2007), 53-59
(.ps, .pdf)
Extended Abstract (for Ravi's Oberwolfach talk):
Oberwolfach Report 27/2006, pp 1643-1645
(.ps, .pdf)
- On the genus-one Gromov-Witten invariants of a quintic threefold,
joint with J. Li,
math.AG/0406105, 55 pages, 5 figures, Pacific J. Math 233 (2007), no. 2,
417-480
(.ps, .pdf)
- On the genus-one Gromov-Witten invariants of complete intersections,
joint with J. Li,
math.AG/0507104, 45 pages, 4 figures, 1 table
(.ps, .pdf)
- Reduced genus-one Gromov-Witten invariants,
math.SG/0507103, 48 pages, 5 figures
(.ps, .pdf)
- On the structure of certain natural cones over moduli
spaces of genus-one holomorphic maps,
math.SG/0406104, 3 figures, Adv. Math. 214 (2007) 878–933
(.ps, .pdf)
- A sharp compactness theorem for genus-one pseudo-holomorphic maps,
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math.SG/0406103, 78 pages, 7 figures
(.ps, .pdf)
- Counting rational curves of arbitrary shape in projective spaces,
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math.AG/0210146, 15 figures, 5 tables, Geom. Top. 9 (2005), 571-697
(.ps, .pdf)
- Enumeration of one-nodal rational curves in projective spaces,
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math.AG/0204236, 9 figures, 1 table,
Topology 43 (2004), no. 4, pp 793-829
(.ps, .pdf)
- Enumeration of genus-three plane curves with a fixed complex structure,
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math.SG/0203058, 3 tables, J. Algebraic Geom. 14 (2005), no. 1, 35-81
(.ps, .pdf)
- Enumeration of genus-two curves with a fixed complex structure
in P2 and P3,
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math.SG/0201254, 2 figures, 3 tables,
J. Diff. Geom. 65 (2003), no. 3, 341-467
(.ps, .pdf)
- Enumerative vs. symplectic invariants and obstruction bundles,
math.SG/0201255, J. Symplectic Geom. 2 (2004), no. 4, 445--543
(.ps, .pdf)
- Completion of Katz-Qin-Ruan's enumeration of genus-two plane curves,
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math.AG/0201216, 3 figures, 1 table,
J. Algebraic Geom. 13 (2004), no. 3, 547-561
(.ps, .pdf)
- The exponential decay rate of the lower bound for the first eigenvalue
of compact manifolds,
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joint with M. Kalka, E. Mann, and D. Yang,
1 figure, Internat. J. Math. 8 (1997), no. 3, 345--355
(.ps, .pdf)
Miscellaneous
- Enumerative algebraic geometry via techniques of
symplectic topology and analysis of local obstructions,
Ph. Thesis (2002), 240 pages, 8 tables
(.ps, .pdf)
- Basic estimates of riemannian geometry used in
gluing pseudoholomorphic maps,
expository notes, 13 pages
(.ps, .pdf)
- Counting plane rational curves: old and new approaches,
math.AG/0507105, expository notes, 32 pages, 2 figures, 2 tables
(.ps, .pdf)
This page is maintained by
Aleksey Zinger.
Last modified: September 22, 2008.