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- Elisenda Grigsby

Maloney Hall 522

Telephone: 617-552-9289

Email: julia.grigsby@bc.edu

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

- 1. arXiv:1612.05953 [pdf, other]
- Title: Annular Khovanov-Lee homology, braids, and cobordismsComments: 33 pages, 2 figuresSubjects: 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 representationsComments: 38 pages, 8 figuresSubjects: 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 closuresComments: 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 accordinglySubjects: Geometric Topology (math.GT)
- 4. arXiv:1305.2183 [pdf, other]
- Title: Sutured Khovanov homology distinguishes braids from other tanglesComments: 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 LettersSubjects: 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 sequenceComments: 27 pages, 11 figuresJournal-ref: Trans. Amer. Math. Soc. 367 (2015), 7103-7131Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Symplectic Geometry (math.SG)
- 6. arXiv:1212.2222 [pdf, other]
- Title: Categorified invariants and the braid groupComments: 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 groupSubjects: 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 homologyComments: 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 differSubjects: 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 homologyComments: 17 pages, 5 figures, to be submitted to Proceedings of Jaco's 70th Birthday Conference, 2010Subjects: 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 homologyComments: 36 pages, 13 figuresSubjects: 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 linksComments: 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 mistakeJournal-ref: Algebraic & Geometric Topology 10 (2010) 2009-2039Subjects: 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 homologyComments: 46 pages, 13 figures; Unnecessary assumptions in statement of link surgeries spectral sequence (Section 4) removed, references updated, minor typos corrected throughoutSubjects: 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 LinksComments: 27 pages, 20 figuresSubjects: Geometric Topology (math.GT)
- 13. arXiv:0710.0359 [pdf, ps, other]
- Title: Grid Diagrams for Lens Spaces and Combinatorial Knot Floer HomologyComments: 27 pages, 8 figures; Expositional improvements, corrected normalization of A grading in proof of Lemma 4.10Journal-ref: International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn024, 39 pagesSubjects: 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 coversComments: Expanded references; 25 pages, 5 figuresJournal-ref: Geom. Topol. 12 (2008) 2249-2275Subjects: 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 CoversAuthors: J. Elisenda GrigsbyComments: 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 coversAuthors: J Elisenda GrigsbyComments: This is the version published by Algebraic & Geometric Topology on 25 September 2006Journal-ref: Algebr. Geom. Topol. 6 (2006) 1355-1398Subjects: Geometric Topology (math.GT)