99
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Khovanov Homotopy Calculations using Flow Category Calculus

, &

References

  • [Baues 95] H.J. Baues. “Homotopy types,” In Handbook of Algebraic Topology, edited by I. M. James, pp. 1–72. Amsterdam: North-Holland, 1995.
  • [Cohen et al. 95] R. Cohen, J.D.S. Jones, and G.B. Segal. “Floer’s infinite dimensional Morse theory and homotopy theory,” In The Floer Memorial Volume (Progress in Mathematics), edited by H. Hofer, C. H. Taubes, A. Weinstein, E. Zehnder, vol. 133, pp. 297–325. Birkhäuser Verlag, 1995.
  • [Jones et al. 15] D. Jones, A. Lobb, and D. Schütz, “An sln Stable Homotopy Type for Matched Diagrams,” ArXiv e-print 1506.07725, 2015.
  • [Jones et al. 17] D. Jones, A. Lobb, and D. Schütz. “Morse Moves in Flow Categories,” Indiana Univ. Math. J. 66: 5 (2017), 1603–1657.
  • [Lawson et al. 15] T. Lawson, R. Lipshitz, and S. Sarkar. “Khovanov Homotopy Type, Burnside Category, and Products,” ArXiv e-print 1505.00213, 2015.
  • [Lobb et al. to appear] A. Lobb, P. Orson, and D. Schütz. “Framed Cobordism and Flow Category Moves,” ArXiv e-print 1605.02003, to appear in Algebr. Geom. Topol. (2018).
  • [Lipshitz and Sarkar 14a] R. Lipshitz and S. Sarkar. “A Khovanov Stable Homotopy Type,” J. Amer. Math. Soc. 27 (2014), 983–1042.
  • [Lipshitz and Sarkar 14b] R. Lipshitz and S. Sarkar. “A Refinement of Rasmussen’s s-invariant,” Duke Math. J. 163 (2014), no. 5, 923–952.
  • [Lipshitz and Sarkar 14c] R. Lipshitz and S. Sarkar. “A Steenrod Square on Khovanov Homology,” J. Topol. 7: 3 (2014) 817–848.
  • [Schütz 17] D. Schütz. “XKnotJob,” software, Available online www.maths.dur.ac.uk/˜dma0ds/ knotjob.html, 2017.
  • [Storjohann 98] A. Storjohann. “Computing Hermite and Smith Normal Forms of Triangular Integer Matrices,” Linear Algebra Appl. 282: 1–3 (1998) 25–45.
  • [Thistlethwaite 99] M. Thistlethwaite. “Knotscape,” software, Available online https://www.math.utk.edu/ morwen/knotscape.html, 1999.
  • [Willis 17] M. Willis. “Stabilization of the Khovanov Homotopy Type of Torus Links,” Int. Math. Res. Not. IMRN 11 (2017), 3350–3376.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.