Math Department Faculty

Elisenda Grigsby

Professor

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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

Personal Website

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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Math Department Faculty

Elisenda Grigsby

Elisenda Grigsby

Ph.D.

Contact

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