Chris Woodward, Professor of Mathematics, Rutgers University, New Brunswick
Publications and preprints available online are below, mostly in pdf format. The papers are
ordered by date of release. Comments are very welcome. Starting
around 2015, journals began to decline publishing minor errata and,
as a result, I started making minor corrections after formal
publication. These should in theory be noted by a version date below
that is after publication date.
63. (with K. Blakey, S. Chanda, Y. Sun)
Augmentation varieties and disk potentials III 45 pages. (Version
January 2024)
62. (with K. Blakey, S. Chanda, Y. Sun)
Augmentation varieties and disk potentials II 51 pages. (Version
January 2024)
61. (with K. Blakey, S. Chanda, Y. Sun)
Augmentation varieties and disk potentials I 64 pages. (July 2024)
This paper was split into parts in order to make it easier to referee.
60. (with S. Venugopalan)
Tropical Fukaya Algebras 320 pages. (Version October 2022)
59. (With S. Venugopalan and G. Xu)
Fukaya categories of blowups. 128
pages. (Arxiv Version December 2022.)
58. (With E. Gonzalez)
Quantum Kirwan for quantum K-theory. Facets of algebraic
geometry. Vol. I, 265–332, London Math. Soc. Lecture Note Ser., 472,
Cambridge Univ. Press, Cambridge, 2022.
To appear in a Volume of Lecture
Notes of the London. Math. Soc. 43
pages. (Version October 2021)
57. (With G. Xu)
Partly-local domain-dependent almost complex structures. 9
pages. This paper was added as an appendix in paper 59 above. (Version March 2019)
56. (With J. Palmer)
Invariance of immersed Floer cohomology under surgery. 110 pages. (Version January 2023).
55. (With G. Xu)
An open quantum Kirwan map. 110 pages. (Version June 2018).
54. (With J. Palmer)
Immersed Floer theory and Maslov flow.
Invariance of immersed Floer cohomology under Maslov
flows. Algebr. Geom. Topol. 21 (2021), no. 5, 2313-2410
(Version
October 2021)
Minor erratum to the published version.
53. (With E. Gonzalez and P. Solis)
Properness for
scaled gauged maps 53 pages. J. Algebra, 490:104--157, 2017.
(Version July 2017)
52. (With E. Gonzalez and P. Solis)
Stable gauged
maps 34 pages. Proc. Symposia AMS. Version
February 2018.
(This and the paper above were meant to be one paper
intended as a survey, but the paper eventually got too long and was
split. There is still substantial overlap. )
51. (With
F. Charest)
Floer theory and flips 171 pages.
Mem. Amer. Math. Soc. 279 (2022), no. 1372. (Version November 2024; this version
has a minor mistake in the induction in Section 5.5 fixed from the
published version.)
50.
(With F. Charest)
Floer
trajectories and stabilizing divisors. 61 pages. Jour. Fixed
Point Theory. June 2017, Volume 19, Issue 2, pp 1165--1236 (Version
October 17; a paragraph of clarification was added to the published
version.)
49.
(With S. Venugopalan)
Classification of affine vortices.
39 pages. Duke Math. J.
Volume 165, Number 9 (2016), 1695-1751. (Version December 2014)
48.
(With E. Gonzalez)
A
wall-crossing formula for Gromov-Witten invariants
under variation of git quotient.
Submitted. 54 pages. (Version January 2020)
47.
(With E. Gonzalez)
Quantum
cohomology and toric minimal model programs.
Quantum cohomology and toric minimal model programs. Adv. Math. 353
(2019), 591--646. (Version November 2023; differs from the published version in a few lines that were omitted because of an editing error.)
44-46.
Quantum
Kirwan morphism and Gromov-Witten invariants of quotients.
Part 1 .
Part 2 .
Part 3 .
Transformation Groups 20 (2015) 507-556, 881-920, 1155-1193. Split
into parts at the request of the journal. (Corrected version June 2017)
43. (With Glen Wilson)
Quasimap Floer
cohomology and varying symplectic quotients.
Canadian Jour. of Math. 65 (2013) 467--480. (Version April 2012)
42. Gauged Floer
theory of toric moment fibers. 74 pages. GAFA Vol21-3 (2011),
680-749.
Errata. on the published version. (The arxiv version was
corrected, version March 2015.)
41. Moment
maps and geometric invariant theory. 57 pages, 5 figures. Notes
from a course given at CIRM, Luminy, in April 2009.
Les cours du CIRM, 1 no. 1: Hamiltonian Actions: invariants et
classification (2010), p. 55-98
(Version November 2011)
40. (with S. Ma'u and K. Wehrheim)
A-infinity functors for Lagrangian
correspondences.
84 pages. Selecta Math. July 2018, Volume 24, Issue 3, p.
1913--2002 Selecta Math. (Version February 2018).
39. (with K. Nguyen and
F. Ziltener)
Morphisms of cohomological field theory algebras and quantization of
the Kirwan map. 33 pages. Symplectic, Poisson, and
Noncommutative Geometry , MSRI Publications Volume 62, 2014, 131-170.
(Version June 2014).
38. (with C. Manolescu) Floer homology on the
extended moduli space.
Perspectives in analysis, geometry, and analysis. Progr. Math.,
96, Birkhauser-Springer, New York 2012. (Version November 2010)
37. (with K. Wehrheim)
Exact triangle for fibered Dehn twists. 81
pages. Res. Math. Sciences 3:17, 2016.
36. (with K. Wehrheim)
Floer field theory for tangles. 40
pages. Under revision. (Version March 2016)
35. (with K. Wehrheim) Floer field theory for
coprime rank and degree.
Indiana Univ. Math. J. 69 (2020), no. 6, 2035--2088. (Version July 2018)
34. (with E. Gonzalez)
Gauged Gromov-Witten theory for small spheres.
Math. Zeit. (2013) 273 pp 485--514. (Version March 2012).
33. (with E. Gonzalez)
Quantum Witten localization and abelianization of qde solutions.
45 pages. (Version June 2016)
32. (with E. Gonzalez) Deformations of
symplectic vortices 44 pages. Annals of Global Anal. and Geom.
39 (2011) 45--82. (Version August 2010)
31. (with S. Ma'u) Geometric realizations
of the multiplihedron. 30 pages. Compositio Math 146 (2010).
(Version March 2009)
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30. (with K. Wehrheim)
Orientations for pseudoholomorphic
quilts. 69 pages. arxiv:1503.07803. Version January 2016.
29. (with K. Wehrheim)
Functoriality for Floer theory in Lagrangian correspondences. 33
pages, 2.4M. Quantum Topology (2010). (Version May 2009. The
original version of this paper was expanded and then broken into four
parts, below.)
28. (with K. Wehrheim)
Pseudoholomorphic quilts.
Journal of Symplectic Geometry 13 (2015) 745-764.
(Version January 2015)
27. (with K. Wehrheim)
Floer Cohomology and Geometric Composition
of Lagrangian Correspondences.
41 pages, 2.4M. Adv. Math. 230 (2012) 177-228. (Version May 2009)
26. (with K. Wehrheim) Quilted Floer
cohomology. 43 pages, 2.4M. Geometry and Topology (2010).
(Version May 2009) Corrigendum:
Quilted Floer trajectories with constant components . Geometry &
Topology 16 (2012) 127-154.
25.
(with Y. Taylor)
Spherical tetrahedra and invariants of 3-manifolds. . 18
pages. (Version June 2004). This manuscript was never published.
24. (with C. Teleman)
The Index Formula on the Moduli of G-bundles. 25 pages, 568K.
Annals Math. 170 (2009) 495-527. (Version August 2007)
23. Localization for the norm-square of the
moment map and the two-dimensional Yang-Mills integral . 39
pages. Jour. Sympl. Geom. 3 (2005) 17-54.
(Version December 2005)
22. (with A. Knutson and T. Tao) A positive
proof of the Littlewood-Richardson rule using the octahedron
recurrence . 16 pages, 309K. Electron. J. Combin. 11 (2004),
Research Paper 61, 18 pp. (electronic). (Version June 2003)
21. (with Y. Taylor) 6j symbols for
U_q(sl_2) and non-Euclidean tetrahedra . 34 pages, 941K.
Selecta Math. (11) (2005) 539 - 571.
The Maple code for generation of the graph in Figure 3 can
be found here .
An
erratum . (Version January 2006)
20. The Yang-Mills heat flow on the moduli
space of framed bundles on a surface . 52 pages, 572K.
Amer. J. Math. (28) (2006) 311--359. (version January 2006)
19. On D. Peterson's comparison
theorem for Gromov-Witten invariants . 10 pages, 196K.
Proc. of the Amer. Math. Soc. 133 (2005) 1601-1609.
(Version January 2005)
18. (with W. Fulton) On the quantum product
of Schubert classes . 18 pages, 312K. J. Algebraic Geom. 13
(2004), no. 4, 641--661. (Version December 2001)
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17. (with A. Knutson and T. Tao) The
honeycomb model of GL(n) tensor products II: Facets of the
Littlewood-Richardson cone . 24 pages, 460K.
J. Amer. Math. Soc. 17 (2004), no. 1, 19--48.
(Version July 2002)
16. (with C. Teleman) Parabolic bundles,
products of conjugacy classes, and quantum cohomology . 23 pages,
483K. Ann. Inst. Fourier (Grenoble) (53) (2003), 713--748.
Offprint available. Erratum .
(Version October 2002)
15. (with A. Alekseev and E. Meinrenken)
Linearization of Poisson actions and singular values of matrix
products . Ann. Inst. Four. (51) (2001) 1691--1717. (Version December 2000)
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14. (with A. Alekseev and E. Meinrenken)
Formulas of Verlinde type for non simply-connected groups .
(Version May 2000) This manuscript was never published.
13. (with A. Alekseev and E. Meinrenken) A
fixed point formula for loop group actions . Jour. of Symplectic
Geometry 1, 1--46 (2001), (2), 427--434 (2001). (Version December
2001)
12. (with A. Alekseev and E. Meinrenken)
Duistermaat-Heckman distributions for
group-valued moment maps . Geom. funct. anal. 12 (2002)
1--31. (Version March 1999)
11. (with A. Canas and V. Guillemin) On
the unfolding of folded symplectic structures .
Math. Res. Lett. 7 (2000) 35--53. (Version October 1998)
10. (with E. Meinrenken) Canonical bundles
for Hamiltonian loop group actions . Pacific J. Math. 198
(2001) 477--487. (Version May 2005).
9. (with A. Alekseev and E. Meinrenken)
Group-valued equivariant localization
. Invent. math. 140 (2000) 2, 327-350. (Version May
1999).
8. (with S. Agnihotri) Eigenvalue
inequalities for products of unitary matrices and quantum Schubert
calculus Math. Res. Lett. 5 (1998), 817--836. (Version August 1998) .
7. (with E. Meinrenken) Cobordism for
Hamiltonian loop group actions and flat connections on the punctured
two-sphere Math. Z. 231 (1999), 133--168.
(Version August 1998)
6. (with E. Meinrenken) Moduli spaces of
flat connections on 2-manifolds, cobordism, and Witten's volume
formulas in Advances in geometry, 271--295, Progr. Math., 172,
Birkhauser, Boston, Boston, MA. (Version August 1998).
5. (with E. Meinrenken) Hamiltonian loop
group actions and Verlinde factorization. J. Differential
Geom. 50 (1998), 417--469. (398k). (Version August 1998)
4. (With E. Lerman, E. Meinrenken, and
S. Tolman) Non-abelian convexity by
symplectic cuts. Topology 37 (1998). (Version August
1998)
3. Spherical varieties and existence of
invariant Kaehler structure. Duke Math. Jour. 93 (1998)
(Version August 1998)
2. Multiplicity-free Hamiltonian actions need
not be Kaehler. Inventiones Math. 131 (1998). (Version August 1998)
1. The classification of transversal
multiplicity-free group actions. Ann. Global Ann. Geom 14 (1996), 3--42.
(Version August 1998)
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