Lukas Lewark
Publications and Preprints

Here are links for my papers on the arXiv, and on MathSciNet, and for my reviews for zbMATH and for MR.

List of my papers in reverse chronological order of appearance on the arXiv:

17. Rasmussen invariants
joint with Claudius Zibrowius
Mathematical Research Postcards (2021), vol. 1 no. 2
16. Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials
joint with Stefan Friedl, Takahiro Kitayama, Matthias Nagel and Mark Powell
Canadian Journal of Mathematics (accepted for publication)
arXiv:2007.15289 pdf
15. Untwisting 3-strand torus knots
joint with Sebastian Baader and Ian Banfield
Bulletin of the London Mathematical Society 52 (2020), no. 3, pp. 429–436.
arXiv:1909.01003 pdf
14. Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space
joint with Peter Feller
arXiv:1905.08305 pdf
13. Average four-genus of two-bridge knots
joint with Sebastian Baader, Alexandra Kjuchukova, Filip Misev and Arunima Ray
Proceedings of the AMS (accepted for publication)
arXiv:1902.05721 pdf
12. Almost positive links are strongly quasipositive
joint with Peter Feller and Andrew Lobb
arXiv:1809.06692 pdf
11.Upsilon-like concordance invariants from sl(n) knot cohomology
joint with Andrew Lobb
Geometry & Topology 23 (2019), no. 2, pp. 745–780
arXiv:1707.00891 pdf, MR3939052
10.Checkerboard graph monodromies
joint with Sebastian Baader and Livio Liechti
L'Enseignement Mathématique 64 (2018), no. 2, pp. 65–88
arXiv:1706.09210 pdf, MR3959848
9.On calculating the slice genera of 11- and 12-crossing knots
joint with Duncan McCoy
Experimental Mathematics 28 (2019), no. 1, pp. 81–94
arXiv:1508.01098v2 pdf, MR3938580
8.On classical upper bounds for slice genera
joint with Peter Feller
Selecta Mathematica 24 (2018), no. 5, pp. 4885–4916
arXiv:1611.02679 pdf, MR3874707
7.Khovanov width and dealternation number of positive braid links
joint with Sebastian Baader, Peter Feller and Raphael Zentner
Mathematical Research Letters 26 (2019), no. 3, pp. 627–641
arXiv:1610.04534 pdf, MR4028096
6.On the topological 4-genus of torus knots
joint with Sebastian Baader, Peter Feller and Livio Liechti
Transactions of the AMS 370 (2018), pp. 2639–2656
arXiv:1509.07634 pdf, MR3748580
5.The stable 4-genus of alternating knots
joint with Sebastian Baader
Asian Journal of Mathematics 21 (2017), no. 6, pp. 1183–1190
arXiv:1505.03345 pdf, MR3778124
4.New Quantum Obstructions to Sliceness
joint with Andrew Lobb
Proceedings of the LMS 112 (2016), no. 1, pp. 81–114
arXiv:1501.07138 pdf, MR3458146
3.On stable sl3-homology of torus knots
joint with Eugene Gorsky
Experimental Mathematics 24 (2015), no. 2, pp. 162–174
arXiv:1404.0623 pdf, MR3350523
2.Rasmussen's spectral sequences and the sl(N)-concordance invariants
Advances in Mathematics 260C (2014), pp. 59–83
arXiv:1310.3100 pdf, MR3209349
1.sl3-foam homology calculations
Algebraic & Geometric Topology 13 (2013), no. 6, 3661–3686
arXiv:1212.2553 pdf, MR3248745
Last update: 11 October 2021.