Alexander Stoimenow
Some Papers
I have papers both in good journals, and in such with high impact
factors, but the journals with high impact factors are not good,
and those which are good do not have high impact factors.
Here is a list of links to a part of my papers (with
bibliographic references when available). All papers are stored
now as PostScript and Pdf files. Please, let
me know if you have any problems with handling them.
The version date format is
day/mth/yr, but the actual version may be newer since I do
not update this page regularly. Some of these papers (sometimes
in slighly different versions) and some other papers are available
on the
arXiv.org e-Print archive.
Very few can also be found on the preprint servers of
MPI (years 1999, 2000) and
RIMS (year 2006). Here is a link to
MathSciNet reviews
(if your institution is subscribing).
I am grateful for any feedback! If you
find the content of some of these papers interesting, or
even useful, I'd be happy to discuss with you on your work.
Please, do not quote with numbers specific theorems, questions
etc. in not (at least to-be-)published papers, as these versions may
undergo significant changes. (The arXiv versions are less subject to
changes and are permanently maintained, though.)
- "On dual triangulations of surfaces,
Lie algebra invariants, and alternating link volumes"
(52 pages, version 05/07/2024, ps 1270 kb, pdf 507 kb).
- "Applications of Jones semiadequacy tests"
(17 pages, version 25/04/2022, ps 473 kb, pdf 177 kb).
- "Exchanged braids for alternating links"
(35 pages, version 21/04/2023, ps 940 kb, pdf 328 kb).
- "Subsymmetric Exchanged Braids and the Burau Matrix"
(28 pages, version 06/07/2021, ps 543 kb, pdf 236 kb),
Proceedings Roy. Soc. Edinburgh, Section A, (2023), 1-34.
- "Realizing strongly quasipositive links and Bennequin
surfaces" (65 pages, version 06/05/2023, ps 1107 kb, pdf 555 kb).
- "Sublinks of strongly quasipositive links" (13 pages, version 24/08/2022, ps 485 kb, pdf 140 kb),
J. Math. Sci. (Series B), 275(1) (2023), 38-54.
- "Exchangeability and non-conjugacy of braid representatives
" (30 pages, version 18/09/2021, ps 559 kb, pdf 261 kb), International Journal of
Computational Geometry and Applications 31(1) (2021), 39-73.
- "Infinitely many non-conjugate braid representatives
of links" (33 pages, version 22/04/2023, ps 2006 kb, pdf 529 kb),
joint with Reiko Shinjo.
- "Independence polynomials and Alexander-Conway
polynomials of plumbing links" (13 pages, version 30/01/2021, ps 424 kb, pdf 151 kb),
Journal of Combinatorial Theory, Series A 183 (2021), 105487.
- "Application of braiding sequences III:
Concordance of positive knots" (28 pages, version 21/03/2015, ps 358 kb, pdf 223 kb),
Internat. J. Math. 26(7) (2015) 1550050 1-36.
- "Hoste's conjecture and roots of link polynomials"
(28 pages, version 24/01/2013, ps 381 kb, pdf 223 kb), Ann. Combinatorics 22(2)
(2018) 393-431.
-
"Everywhere equivalent 2-component links" (8 pages, version 14/03/2015, ps 267 kb, pdf 86 kb),
Symmetry 7 (2015), Special Issue "Diagrams, Topology,
Categories and Logic", 365-375.
-
"On the definition of graph index" (11 pages, version 13/07/2011, ps 239 kb, pdf 93 kb),
J. Austral. Math. Society 94(3) (2013), 417-429.
-
"On the crossing number of semiadequate links"
(37 pages, version 31/01/2010, ps 460 kb, pdf 369 kb), Forum Math. 26(4) (2014), 1187-1246.
-
"Mutation and the colored Jones polynomial" (23 pages, version 04/08/2009, ps 866 kb, pdf 326 kb),
joint with Toshifumi
Tanaka, Journal of Gokova Geometry & Topology 3 (2009),
44-78.
-
"Deciding mutation with the colored Jones polynomial"
(4 pages, version 21/01/2006, ps 312 kb, pdf 68 kb), joint with Toshifumi Tanaka, proceedings of the conference
"Topology of Knots VIII" in Waseda Univ., 23-26 Dec. 2005.
(See erratum.)
-
"Square numbers and polynomial invariants of achiral knots"
(14 pages, version 11/08/2006, ps 321 kb, pdf 224 kb), Math. Z. 255(4) (2007), 703-719.
- "Realizing Alexander polynomials by
hyperbolic links" (33 pages, version 31/10/2008, ps 638 kb, pdf 381 kb), Expositiones
Mathematicae 28(2) (2010), 133-178.
-
"The second coefficient of the Jones polynomial"
(12 pages, version 27/11/2004, ps 167 kb, pdf 136 kb), proceedings of the conference
"Intelligence of Low Dimensional Topology 2004",
Osaka City University October 25 - October 27, 2004.
- "Some examples related to
knot sliceness" (16 pages, version 10/08/2006, ps 279 kb, pdf 262 kb), J. Pure Applied Algebra
210(1) (2007), 161-175.
- "On cabled knots and Vassiliev
invariants (not) contained in knot polynomials" (27 pages, version 15/10/2006, ps 418 kb, pdf 336 kb),
Canadian J. Math. 59(2) (2007), 418-448.
- 12 problems (3 pages, version 20/08/2001, ps 27 kb, pdf 62 kb), appears (in some
fragmentary form) in the problem list of the
proceedings
(edited by T.
Ohtsuki) of the semester
"Low-dimensional topology in the twenty-first century"
at the
Research Institute for Mathematical Sciences, Kyoto University.
- "Counting alternating knots by genus"
, joint with Alina Vdovina (23 pages, version 19/03/2004, ps 577 kb, pdf 507 kb), Math. Ann. 333 (2005),
1-27.
- "Some applications of Tristram-Levine
signatures" (15 pages, version 01/07/2004, ps 287 kb, pdf 232 kb), Advances in Mathematics
194(2) (2005), 463-484.
- "Newton-like polynomials of links"
(12 pages, version 27/11/2005, ps 302 kb, pdf 191 kb), Ens. Math. 51(3-4) (2005), 211-230.
- "Examples of knots without minimal
string Bennequin surfaces", joint with
Mikami Hirasawa
(9 pages, version 08/12/2003, ps 339 kb, pdf 195 kb),
Asian Journal of Mathematics 7(3) (2003), 435-446.
- "On the number of links and link
polynomials" (10 pages, version 18/12/2003, ps 146 kb, pdf 155 kb), Quart. J. Math. Oxford
55(1) (2004), 87-98.
- "The Alexander polynomial of planar even
valence graphs", joint with Kunio Murasugi (18 pages, version 17/05/2003, ps 321 kb, pdf 247 kb),
Adv. Appl. Math. 31(2) (2003), 440-462.
- "On the coefficients of the
link polynomials" (24 pages, version 15/02/2002, ps 466 kb, pdf 283 kb), Manuscr. Math.
110(2) (2003), 203-236
- "The canonical genus of a classical and
virtual knot", joint with Volodya Tchernov and Alina Vdovina
(10 pages, version 09/11/2001, ps 331 kb, pdf 217 kb), Geometriae Dedicata 95(1) (2002), 215-225.
- "On unknotting numbers and knot
trivadjacency" , partly joint with
Nikos Askitas
(15 pages, version 10/09/2004, ps 247 kb, pdf 249 kb), Mathematica Scandinavica 94(2) (2004),
227-248. (The version here has
some minor mistakes in the published version corrected;
see here for erratum to printed version.)
- "Polynomial values, the linking form and
unknotting numbers" (11 pages, version 02/11/2004, ps 279 kb, pdf 195 kb),
Mathematical Research Letters 11(5-6) (2004), 755-769.
- "Graphs, determinants of
knots and hyperbolic volume" (21 pages, version 15/11/2007, ps 524 kb, pdf 265 kb),
Pacific J. Math. 232(2) (2007), 423-451.
- "Rational knots and a theorem of
Kanenobu" (6 pages, version 13/09/2000, ps 95 kb, pdf 146 kb), Exper. Math. 9(3)
(2000), 473-478.
- "The Jones polynomial, genus and weak genus
of a knot" (11 pages, version 08/12/1999, ps 201 kb, pdf 204 kb), Ann. Fac. Sci. Toulouse VIII(4)
(1999), 677-693. (See erratum.)
- "The Conway Vassiliev invariants on twist
knots" (3 pages, version 20/10/1999, ps 55 kb, pdf 104 kb), Kobe J. Math. 16(2) (1999),
189-193.
- "Knots of genus two"
(50 pages, version 10/02/2008, ps 803 kb, pdf 494 kb), Fundamenta Mathematicae 200(1) (2008), 1-67.
- "Some minimal degree Vassiliev invariants
not realizable by the Homfly and Kauffman polynomial"
(4 pages, version 11/07/1998, ps 65 kb, pdf 110 kb), C. R. Acad. Bulgare Sci. 54(4) (2001), 9-14.
- "Knots of genus one" (14 pages, version 16/07/1999, ps 239 kb, pdf 198 kb),
Proc. Amer. Math. Soc. 129(7) (2001), 2141-2156.
- "Mutant links distinguished by degree 3 Gauss
sums" (14 pages, version 27/04/1998, ps 748 kb, pdf 186 kb), Proceedings of the International Conference
on Knot Theory "Knots in Hellas, 98", Series on Knots and Everything
24, World Scientific, 2000.
- "Gauss sums on almost positive
knots" (27 pages, version 05/09/2002, ps 756 kb, pdf 301 kb), Compositio Mathematica 140(1)
(2004), 228-254.
- "On some restrictions to the values
of the Jones polynomial" (14 pages, version 11/04/2005, ps 265 kb, pdf 180 kb),
Indiana Univ. Math. J. 54 (2) (2005), 557-574.
- "Vassiliev invariants
and rational knots of unknotting number one" (13 pages, version 18/02/2002, ps 177 kb, pdf 210 kb),
Topology 42(1) (2003), 227-241.
- "On finiteness of Vassiliev invariants
and a proof of the Lin-Wang conjecture via braiding
polynomials" (12 pages, version 26/07/2001, ps 187 kb, pdf 200 kb), J. Of Knot Theory and
Its Ram. 10(5) (2001), special volume for the
proceedings of the International Conference on Knot
Theory "Knots in Hellas, 98", 769-780. (The version here has
some minor mistakes in the published version corrected;
see here for erratum to printed version.)
- "Positive knots, closed braids and the
Jones polynomial" (39 pages, version 14/03/2003, ps 763 kb, pdf 372 kb), Ann. Scuola Norm. Sup. Pisa Cl.
Sci. 2(2) (2003), 237-285.
- "Gauss sum invariants, Vassiliev
invariants and braiding sequences" (37 pages, version 06/04/1999, ps 449 kb, pdf 368 kb),
J. Of Knot Theory and Its Ram. 9(2) (2000), 221-269.
(see erratum to printed version)
- "New knot and link invariants", joint with
Thomas Fiedler
(22 pages, version 31/01/2002, ps 317 kb, pdf 262 kb), Proceedings of the International
Conference on Knot Theory "Knots in Hellas, 98", Series on Knots and
Everything 24, World Scientific, 2000. (This version
has some minor updates and corrections compared to the published one.)
- "The Fundamental Theorem
of Vassiliev Invariants", joint with
Dror Bar-Natan
(30 pages, ps 663 kb, pdf 540 kb), Proc. of the Århus Conf. Geometry and physics,
(J. E. Andersen, J. Dupont, H. Pedersen, and A. Swann, eds.),
lecture notes in pure and applied mathematics 184 (1997) 101-134,
Marcel Dekker, New-York.
- "Stirling numbers, Eulerian idempotents
and a diagram complex" (24 pages, version 27/07/2005, ps 574 kb, pdf 254 kb) , J. Of Knot Theory and Its
Ram. 7(2) (1998), 231-256.
- "Mathematical entertainment and a
combinatorial complexity problem" (3 pages, ps 47 kb, pdf 55 kb)
- "Eine
Verallgemeinerung des Satzes von Wilson" (4 pages, ps 35 kb, pdf 48 kb)
Abstracts of and
errata (ps or
pdf) to some papers
Errata include also things like outdated references etc.
A request to Readers
For a certain period I have been "criticized" for the number of
unpublished preprints I have, many of which were put on this site.
Before you try to conclude from this anything negative about their
style or contents, please let me send you some stories about how some
people used to treat some of them. (They were originally put on this
webpage, but later removed at the request of an editor whom I know
personally. He treated it as an offence against the refereeing work
and refused to handle my papers otherwise. Some account may be
found here.)
Please, read carefully these stories,
and tell me what you think about them. As for myself, such experiences
have made me lose a lot of any potential respect for the refereeing
and publishing system. Also, for the same reason I decided no longer
to put all (but just some) papers I write on this list.
A request to Editors
I would like to request that Editors clarify the
status of an article submitted for publication if
I ask about it. I had papers Editors gave no answer about
almost 2 years. I cant always write to the Editors on this.
It's very inconvenient and frustrating to write to people who
never answer. I understand anyone is busy. But
these editors ask an article submitted for publication not to
be published or submitted to a different journal, and
if I fail to find out any information, it's a waste of my time.
So if I've had no reply from a journal in spite of 3-4 status
queries I kindly ask to withdraw the paper without new notice.
A request to harvest downloaders
I was startled to find (by chance) a digital library
storing a large number (70!) of my "no longer existing"
paper( version)s. I see several serious problems in this.
Except coauthors and publishers, I have not agreed
anybody to offer publicly material I have written.
In case the material is published, this conflicts
the publishers' request to hold copyright on it.
Before the material is published, it may
undergo significant changes. It may be found outdated,
badly presented, mathematically incorrect.
The digital library I found seems to think a machine can do all the job.
This leads to references of my papers linked to
items I never heard of, badly presented abstracts,
outdated links etc. Even aside legal issues (which I
cannot enter into), storing this material may bear more harm
than good, to authors and readers.
Based on this experience, I kindly ask to stop harvest downloads
of my papers, withdraw any machine-web-presented downloaded papers,
and put a reference to my website so anybody interested can ask me
to clarify the material's status.
Alexander Stoimenow,
stoimeno_stoimenov.net