Tara Holm's Publications

The is a list of my publications, in reverse chronological order.  If you would like to see these grouped by subject area, along with some description of the papers, please see my research page. Some of the papers listed below were supported in part by the NSF grant DMS-0604807.

    Publications

  1. Orbifold cohomology of torus quotients
    (with Rebecca Goldin and Allen Knutson) Duke Math J. 139 (2007) no. 1, 89-139.
    Preprint math.SG/0502429

  2. Connectivity properties of moment maps on based loop groups
    (with Megumi Harada, Lisa Jeffrey and Liviu Mare) Geom. Topol. 10 (2006) 1607-1634.
    Preprint math.SG/0503684

  3. A GKM description of the equivarian cohomology ring of a homogeneous space
    (with Victor Guillemin and Catalin Zara) J. Alg. Combin. 23 (2006) no. 1, 21-41.
    Preprint math.SG/0112184

  4. The equivariant cohomology of hypertoric varieties and their real loci
    (with Megumi Harada) Commun. Anal. and Geom. 13 (2005) No. 3, 645-677.
    Preprint math.DG/0405422

  5. Computation of generalized equivariant cohomologies of Kac-Moody flag varieties
    (with Megumi Harada and Andre Henriques) Adv. Math. 197 (2005) No. 1, 198-221.
    Preprint math.AT/0409305.
    This is an rewritten paper that subsumes the results of:

    T-equivariant cohomology of cell complexes and the case of infinite Grassmannians
    (with Megumi Harada and Andre Henriques)
    Preprint math.DG/0402079

  6. Conjugation spaces
    (with Jean-Claude Hausmann and Volker Puppe) Algebr. Geom. Topol. 5 (2005) 923-964.
    Preprint math.AT/0412057

  7. GKM theory for torus actions with non-isolated fixed points
    (with Victor Guillemin) International Math. Res. Notices 40 (2004) 2105--2124.
    Preprint math.SG/038008

  8. Real loci of symplectic reductions
    9. (with Rebecca Goldin) Trans. AMS 356 (2004) 2105--2124.
    Preprint math.SG/0209111

  9. The mod 2 equivariant cohomology of real loci
    (with Daniel Biss and Victor Guillemin) Adv. Math. 185 (2004) 370--399.
    Preprint math.SG/0107151

  10.  Distinguishing chambers of the moment polytope
    (with Rebecca Goldin and Lisa Jeffrey) J. Sympl. Geom. 2 (2003) 109-131.
    Preprint math.SG/0302265

  11. The equivariant cohomology of Hamiltonian G-spaces from residual S^1 actions
    (with Rebecca Goldin) Math. Research Letters 8 (2001) 67--78.
    Preprint math.SG/0107131

  12.  On majority domination graphs
    Discrete Math. 239 (2001) 1--12.
    Preprint available in gzipped postscript.

  13. On tolerance sphere-of-influence graphs
    (with Kenneth Bogart) Bull. Inst. Combin. Appl. 24 (1998) 33--46.
    Preprint available in gzipped postscript.

    Manuscripts accepted for publication

  14. Orbifold cohomology of abelian symplectic reductions and the case of weighted projective spaces.
    Contemp. Math., to appear.
    Preprint arXiv:0704.0257

  15. Act globally, compute locally: group actions, fixed points, and localization
    Contemp. Math., to appear.
    Preprint arXiv:0710.5295

  16. Torsion and abelianization in equivariant cohomology
    (with Reyer Sjamaar) Transf. Groups, to appear.
    Preprint math/0607069

    17. Preprints

  17. How is a graph like a manifold?
    (with Ethan Bolker and Victor Guillemin) Currently being turned in to a research monograph with C. Zara.
    Preprint math.CO/0206103

    18. Conference proceedings, expository articles and theses


  18. Kirwan surjectivity for preorbifold cohomology
    (with Rebecca Goldin and Allen Knutson) Cohomological aspects of Hamiltonian group actions, Mathematisches Forschungsinstitut Oberwolfach Report no. 20 (2004) 36--39.
    Available in PDF

  19. A combinatorial card trick
    (with Shai Simonson) PRIMUS XIII no. 3 (2003) 248--269.
    Available in PDF.

  20. Equivariant cohomology, homogeneous spaces, and graphs
    PhD Thesis, MIT 2002
    Available in PDF

  21. Tolerance sphere-of-influence graphs
    Senior Honors Thesis, Dartmouth College, 1997.
    Available in gzipped postscript.