Chris Woodward's Home Page: Math papers and some other links.

Please try to get the published versions, which in some cases contain substantial revisions, for example by asking me for an offprint. Comments are welcome. If you find a mistake, please let me know, even if it is very minor; I like to keep track of things like sign mistakes here, and only publish errata if the mistakes are more significant.


Quantum Kirwan morphism and Gromov-Witten invariants of quotients. 116 pages.

(With Glen Wilson) Quasimap Floer cohomology and varying symplectic quotients. 13 pages. To appear in Canad. Math Jour.

Gauged Floer theory of toric moment fibers. 74 pages. GAFA Vol21-3 (2011), 680-749.

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

(with S. Mau and K. Wehrheim) A-infinity functors for Lagrangian correspondences. 68 pages. Preliminary version.

(with K. Nguyen and F. Ziltener) Morphisms of cohomological field theory algebras and quantization of the Kirwan map. 24 pages. Submitted.

(with C. Manolescu) Floer homology on the extended moduli space. Perspectives in analysis, geometry, and analysis. Progr. Math., 96, Birkhauser-SPringer, New York 2012.

(with K. Wehrheim) Exact triangle for fibered Dehn twists. 44 pages.

(with K. Wehrheim) Floer field theory for tangles. 35 pages.

A similar theory for tangles using nilpotent slices is developed in my student Rezazadegan's paper .

(with K. Wehrheim) Floer field theory. 22 pages.

(with E. Gonzalez) Gauged Gromov-Witten theory for small spheres. 33 pages. To appear in Math. Zeit.

(with E. Gonzalez) Area-dependence in gauged Gromov-Witten theory 43 pages. Submitted.

This uses compactness for symplectic vortices by Andreas Ott (joint student of Dietmar Salamon and myself) available here.

(with E. Gonzalez) Deformations of symplectic vortices 44 pages. Annals of Global Anal. and Geom. 39 (2011) 45--82.

(with S. Mau) Geometric realizations of the multiplihedron. 30 pages. Compositio Math 146 (2010).

My student Sikimeti Mau's gluing paper is a sequel.

(with K. Wehrheim) Orientations for pseudoholomorphic quilts. 44 pages, 945K. Preliminary version.

(with K. Wehrheim) Functoriality for Floer theory in Lagrangian correspondences. 33 pages, 2.4M. Quantum Topology (2010). (The original version of this paper was expanded and then broken into four parts, below.)

(with K. Wehrheim) Pseudoholomorphic quilts. 35 pages, 2.4M. To appear in Jour. Symp. Geom.

(with K. Wehrheim) Floer Cohomology and Geometric Composition of Lagrangian Correspondences. 41 pages, 2.4M. Adv. Math. 230 (2012) 177-228.

(with K. Wehrheim) Quilted Floer cohomology. 43 pages, 2.4M. Geometry and Topology (2010). The proof of transversality missed a case which is proved in Quilted Floer trajectories with constant components, . Geometry & Topology 16 (2012) 127-154.


(with Y. Taylor) Spherical tetrahedra and invariants of 3-manifolds. . 18 pages, 248K.

(with C. Teleman) The Index Formula on the Moduli of G-bundles. 25 pages, 568K. Annals Math. 170 (2009) 495-527.

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. Offprint available.

(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);

(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 .

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. Offprint available.

A partial bibliography on the small quantum cohomology of $G/P$.

On D. Peterson's comparison theorem for Gromov-Witten invariants . 10 pages, 196K. Proc. of the Amer. Math. Soc. 133 (2005) 1601-1609. Offprint available.

(with W. Fulton) On the quantum product of Schubert classes . 18 pages, 312K. J. Algebraic Geom. 13 (2004), no. 4, 641--661. Offprint available.

(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. Offprint available.

(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 .

(with A. Alekseev and E. Meinrenken) Linearization of Poisson actions and singular values of matrix products . Ann. Inst. Four. (51) (2001) 1691--1717. 450K. Offprint available.

(with A. Alekseev and E. Meinrenken) Formulas of Verlinde type for non simply-connected groups .

(with A. Alekseev and E. Meinrenken) A fixed point formula for loop group actions . Jour. of Symplectic Geometry {\bf 1}, 1--46 (2001), (2), 427--434 (2001). Offprint available.

(with A. Alekseev and E. Meinrenken) Duistermaat-Heckman distributions for group-valued moment maps . Geom. funct. anal. {\bf 12} (2002) 1--31. Offprint available.

(with A. Canas and V. Guillemin) On the unfolding of folded symplectic structures . Math. Res. Lett. 7 (2000) 35--53.

(with E. Meinrenken) Canonical bundles for Hamiltonian loop group actions . Pacific J. Math. {\bf 198} (2001) 477--487. Offprint available.

(with A. Alekseev and E. Meinrenken) Group-valued equivariant localization . Invent. math. 140 (2000) 2, 327-350. Offprint available.

(with S. Agnihotri) Eigenvalue inequalities for products of unitary matrices and quantum Schubert calculus Math. Res. Lett. 5 (1998), 817--836. (297k). Offprint available.

(with E. Meinrenken) Cobordism for Hamiltonian loop group actions and flat connections on the punctured two-sphere Math. Z. 231 (1999), 133--168. (425k) Offprint-- --available.

(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. (320k) Offprint available.

(with E. Meinrenken) A symplectic proof of Verlinde factorization J. Differential Geom. 50 (1998), 417--469. (398k). Offprint available.

(With E. Lerman, E. Meinrenken, and S. Tolman) Non-abelian convexity by symplectic cuts. Topology 37 (1998). (257k) Offprint available.

Spherical varieties and existence of invariant Kaehler structure. Duke Math. Jour. 93 (1998) (344k). Offprint available.

Multiplicity-free Hamiltonian actions need not be Kaehler. Inventiones Math. 131 (1998). (153k)

The classification of transversal multiplicity-free group actions. Ann. Global Ann. Geom 14 (1996), 3--42. (445k)

All files are in Postscript format.



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