Chris Woodward's Home Page: Math Papers

Please try to get the published versions, which in some cases contain substantial revisions, for example by asking me for an offprint. Comments (especially on preliminary versions) are more than welcome! If you find a mistake, please let me know, even if it is very minor.

(with E. Gonzalez) Gauged Gromov-Witten theory for small spheres 31 pages. Preliminary version.

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

(with E. Gonzalez) A gluing theorem for symplectic vortices 48 pages. Preliminary version.

(with F. Ziltener) Functoriality for Gromov-Witten invariants under symplectic quotients. 40 pages. Preliminary version.

(with E. Gonzalez) Symplectic vortices with fixed holonomy at infinity 33 pages. Preliminary version.

(with S. Mau) Geometric realizations of the multiplihedron and its complexification 40 pages. Submitted.

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

(with K. Wehrheim) Functoriality for Floer theory in Lagrangian correspondences. 107 pages, 2.4M. Submitted.

(with C. Teleman) The Newstead-Ramanan conjecture. This paper has been combined with "The Index Formula ..." below into a single paper.

(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. To appear in Annals. Math.

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 errata. .

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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