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Aleksey Zinger
Department of Mathematics
       
Stony Brook |
Publications and Preprints
Note:
Some of the .pdf files below may be 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 the .pdf version
of Publication and Preprints.
- Double and triple Givental's J-functions for
stable quotients invariants
math/1305.2142, 60 pages, 9 figures, 1 table
- The determinant line bundle for Fredholm operators:
construction, properties, and classification
math/1304.6368, 53 pages
- Orientability in real Gromov-Witten theory
joint with A. Georgieva, math/1301.1074, 34 pages
- Appendix to Counting genus zero real curves
in symplectic manifolds
joint with M. Farajzadeh Tehrani, math/1205.1809, 14 pages, 1 figure
- Mirror symmetry for stable quotients invariants
joint with Y. Cooper, math/1201.6350, 44 pages, 6 figures, 1 table
- The genus 0 Gromov-Witten invariants of
projective complete intersections
math/1106.1633, 62 pages, 3 fugures, 4 tables
- On transverse triangulations
math/1012.3979, Münster J. Math. 5 (2012), 99-106
- Mirror formulas for closed, open, and unoriented
Gromov-Witten invariants
joint with A. Popa, math/1010.1946, 55 pages, 2 figures, 5 tables
- A comparison theorem for Gromov-Witten invariants
in the symplectic category
math/0807.0805, Adv. Math. 228 (2011), no. 1, 535--574
- Enumerative geometry of Calabi-Yau 5-folds
joint with R. Pandharipande, math/0802.1640, 6 figures, 3 tables,
New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry,
ASPM 59 (2010), 239-288
Appendix (self-contained), 6 pages
- Some properties of hypergeometric series associated
with mirror symmetry
joint with D. Zagier, math/0710.0889,
Modular Forms and String Duality, Fields Inst. Commun. 54 (2008), 163-177
- Standard vs. reduced genus-one Gromov-Witten invariants
math/0706.0715, Geom. Top. 12 (2008), no. 2, 1203-1241
- Genus-zero two-point hyperplane integrals
in the Gromov-Witten theory
math/0705.2725, 4 figures, Comm. Analysis Geom. 17 (2010), no. 5, 1-45
- The reduced genus-one Gromov-Witten
invariants of Calabi-Yau hypersurfaces
math/0705.2397, 5 figures, JAMS 22 (2009), no. 3, 691-737
- Pseudocycles and integral homology
math.AT/0605535, 2 figures, Trans. AMS 360 (2008), no. 5, 2741-2765
Older, more technical/direct version:
math.AT/0605535v1, 37 pages, 3 figures
- 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
- A desingularization of the main component of
the moduli space of genus-one stable maps into Pn
joint with R. Vakil, math.AG/0603353, 13 figures, Geom. Top. 12 (2008), 1-95
Overview (independent): 2 figures, ERA AMS 13 (2007), 53-59
Extended Abstract (for Ravi's Oberwolfach talk):
Oberwolfach Report 27/2006, 1643-1645
- On the genus-one Gromov-Witten invariants
of a quintic threefold
joint with J. Li, math.AG/0406105, 5 figures, Pacific J. Math 233 (2007), no. 2, 417-480
- On the genus-one Gromov-Witten invariants of
complete intersections
joint with J. Li, math.AG/0507104, 4 figures, 1 table,
JDG 82 (2009), no. 3, 641-690
- Reduced genus-one Gromov-Witten invariants
math.SG/0507103, 5 figures, JDG 83 (2009), no. 2, 407-460
- On the structure of certain natural cones over moduli
spaces of genus-one holomorphic maps
math.SG/0406104, 3 figures, Adv. Math. 214 (2007), no. 2, 878–933
- A sharp compactness theorem for genus-one
pseudo-holomorphic maps
math.SG/0406103, 7 figures, Geom. Top. 13 (2009), no. 5, 2427-2522
- Counting rational curves of arbitrary shape
in projective spaces
math.AG/0210146, 15 figures, 5 tables, Geom. Top. 9 (2005), 571-697
- Enumeration of one-nodal rational curves
in projective spaces
math.AG/0204236, 9 figures, 1 table,
Topology 43 (2004), no. 4, 793-829
- Enumeration of genus-three plane curves with
a fixed complex structure
math.SG/0203058, 3 tables, J. Algebraic Geom. 14 (2005), no. 1, 35-81
- Enumeration of genus-two curves with a fixed
complex structure in P2 and P3
math.SG/0201254, 2 figures, 3 tables, J. Diff. Geom. 65 (2003), no. 3, 341-467
- Enumerative vs. symplectic invariants
and obstruction bundles
math.SG/0201255, J. Symplectic Geom. 2 (2004), no. 4, 445--543
- Completion of Katz-Qin-Ruan's enumeration of genus-two
plane curves
math.AG/0201216, 3 figures, 1 table,
J. Algebraic Geom. 13 (2004), no. 3, 547-561
- The exponential decay rate of the lower bound for
the first eigenvalue of compact manifolds
joint with M. Kalka, E. Mann, and D. Yang,
1 figure, Internat. J. Math. 8 (1997), no. 3, 345--355
Miscellaneous
-
Enumerative algebraic geometry via techniques of
symplectic topology and analysis of local obstructions
Ph.D. Thesis, MIT 2002, 240 pages, 8 tables
- Basic Riemannian geometry and Sobolev estimates
used in symplectic topology
math/1012.3980, expository notes, 33 pages, 3 figures
- Counting plane rational curves: old and new approaches
math.AG/0507105, expository notes, 32 pages, 2 figures, 2 tables
- On the robustness of extortionate strategies
in Iterated Prisoner's Dilemma
joint with J. Chen, 5 pages plus 2-page appendix
This page is maintained by
Aleksey Zinger.
Last modified: May 8, 2013.