Math Department Faculty

Elisenda Grigsby

Professor

Photo of Elisenda Grigsby

Elisenda Grigsby

Ph.D.

Contact

Maloney Hall 522

Telephone: 617-552-9289

Email: julia.grigsby@bc.edu

Education

  • A.B., Harvard University
  • Ph.D., University of California at Berkeley

Papers

1. arXiv:1612.05953 [pdf, other]
Title: Annular Khovanov-Lee homology, braids, and cobordisms
Authors: J. Elisenda Grigsby, Anthony M. Licata, Stephan M. Wehrli
Comments: 33 pages, 2 figures
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Representation Theory (math.RT)
2. arXiv:1505.04386 [pdf, other]
Title: Annular Khovanov homology and knotted Schur-Weyl representations
Authors: J. Elisenda Grigsby, Anthony M. Licata, Stephan M. Wehrli
Comments: 38 pages, 8 figures
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Representation Theory (math.RT)
3. arXiv:1309.0759 [pdf, other]
Title: An elementary fact about unlinked braid closures
Authors: J. Elisenda Grigsby, Stephan M. Wehrli
Comments: 8 pp, 2 figs; We thank Tim Cochran for pointing out that Prop. 1 appeared in Thm. 4.1 of his "Non-trivial links and plats with trivial Gassner matrices," MATH PROC CAMBRIDGE (1996) prior to the work of Birman-Menasco that we cited in v2. We have revised the abstract and intro of our paper accordingly
Subjects: Geometric Topology (math.GT)
4. arXiv:1305.2183 [pdf, other]
Title: Sutured Khovanov homology distinguishes braids from other tangles
Authors: J. Elisenda Grigsby, Yi Ni
Comments: 9 pages, 1 figure, Definition of sutured annular Khovanov homology in Section 2.1 has significant text overlap with arXiv:1212.2222; Version 2 incorporates referee comments. This is the version accepted for publication in Mathematical Research Letters
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Representation Theory (math.RT)
5. arXiv:1303.1986 [pdf, other]
Title: Sutured Khovanov homology, Hochschild homology, and the Ozsvath-Szabo spectral sequence
Authors: Denis Auroux, J. Elisenda Grigsby, Stephan M. Wehrli
Comments: 27 pages, 11 figures
Journal-ref: Trans. Amer. Math. Soc. 367 (2015), 7103-7131
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Symplectic Geometry (math.SG)
6. arXiv:1212.2222 [pdf, other]
Title: Categorified invariants and the braid group
Authors: John A. Baldwin, J. Elisenda Grigsby
Comments: 12 pages, 2 figures. Version 2 has a new, entirely combinatorial, proof that sutured annular Khovanov homology detects the trivial braid, involving a relationship between Plamenevskaya's invariant of transverse links and the Dehornoy order on the braid group
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Representation Theory (math.RT)
7. arXiv:1107.2841 [pdf, other]
Title: On Khovanov-Seidel quiver algebras and bordered Floer homology
Authors: Denis Auroux, J. Elisenda Grigsby, Stephan M. Wehrli
Comments: 56 pages, 12 figures; This is the version published by Selecta Mathematica. Incorporated referee's suggestions, trimming background material on A_\infty algebras/modules. Added Section 7, providing an example of a braid for which the A_\infty structures of its associated Khovanov-Seidel and bordered Floer bimodules differ
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Symplectic Geometry (math.SG)
8. arXiv:1010.3727 [pdf, other]
Title: On Gradings in Khovanov homology and sutured Floer homology
Authors: J. Elisenda Grigsby, Stephan M. Wehrli
Comments: 17 pages, 5 figures, to be submitted to Proceedings of Jaco's 70th Birthday Conference, 2010
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Symplectic Geometry (math.SG)
9. arXiv:0907.4378 [pdf, ps, other]
Title: On the naturality of the spectral sequence from Khovanov homology to Heegaard Floer homology
Authors: J. Elisenda Grigsby, Stephan M. Wehrli
Comments: 36 pages, 13 figures
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Symplectic Geometry (math.SG)
10. arXiv:0907.4375 [pdf, other]
Title: Khovanov homology, sutured Floer homology, and annular links
Authors: J. Elisenda Grigsby, Stephan M. Wehrli
Comments: 23 pages, 7 figures; This is the published version. Important note: In the statement of Theorem 3.1 appearing in v.1, the "only if" direction of the final sentence is FALSE. This has been corrected in v.2. We are grateful to Matt Hedden for pointing out the mistake
Journal-ref: Algebraic & Geometric Topology 10 (2010) 2009-2039
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Symplectic Geometry (math.SG)
11. arXiv:0807.1432 [pdf, ps, other]
Title: On the Colored Jones Polynomial, Sutured Floer homology, and Knot Floer homology
Authors: J. Elisenda Grigsby, Stephan Wehrli
Comments: 46 pages, 13 figures; Unnecessary assumptions in statement of link surgeries spectral sequence (Section 4) removed, references updated, minor typos corrected throughout
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Symplectic Geometry (math.SG)
12. arXiv:0804.3048 [pdf, ps, other]
Title: Grid Diagrams and Legendrian Lens Space Links
Authors: Kenneth L. Baker, J. Elisenda Grigsby
Comments: 27 pages, 20 figures
Subjects: Geometric Topology (math.GT)
13. arXiv:0710.0359 [pdf, ps, other]
Title: Grid Diagrams for Lens Spaces and Combinatorial Knot Floer Homology
Authors: Kenneth L. Baker, J. Elisenda Grigsby, Matthew Hedden
Comments: 27 pages, 8 figures; Expositional improvements, corrected normalization of A grading in proof of Lemma 4.10
Journal-ref: International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn024, 39 pages
Subjects: Geometric Topology (math.GT); Symplectic Geometry (math.SG)
14. arXiv:math/0701460 [pdf, ps, other]
Title: Knot concordance and Heegaard Floer homology invariants in branched covers
Authors: J. Elisenda Grigsby, Daniel Ruberman, Saso Strle
Comments: Expanded references; 25 pages, 5 figures
Journal-ref: Geom. Topol. 12 (2008) 2249-2275
Subjects: Geometric Topology (math.GT); Symplectic Geometry (math.SG)
15. arXiv:math/0610238 [pdf, ps, other]
Title: Combinatorial Description of Knot Floer Homology of Cyclic Branched Covers
Authors: J. Elisenda Grigsby
Comments: 20 pages, 14 figures; Minor expositional improvements, typos corrected throughout (most seriously, the x,y coordinates used in discussion of intersection points beginning page 13 of previous version were incorrectly--but consistently--flipped)
Subjects: Geometric Topology (math.GT)
16. arXiv:math/0507498 [pdf, other]
Title: Knot Floer homology in cyclic branched covers
Authors: J Elisenda Grigsby
Comments: This is the version published by Algebraic & Geometric Topology on 25 September 2006
Journal-ref: Algebr. Geom. Topol. 6 (2006) 1355-1398
Subjects: Geometric Topology (math.GT)
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