Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Knot theory

2016/22/E/ST1/00040

Keywords:

knot link Floer homology Khovanov homology quasipositive knot

Descriptors:

  • ST1_6: Topology

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Maciej Borodzik 

Number of co-investigators in the project: 8

Call: SONATA BIS 6 - announced on 2016-06-15

Amount awarded: 582 650 PLN

Project start date (Y-m-d): 2017-04-13

Project end date (Y-m-d): 2020-04-12

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. komputer przenośny (3 804 PLN)
  2. komputer przenośny (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (13)
  • Articles in post-conference publications (1)
  1. Involutive Heegaard Floer homology and rational cuspidal curves
    Authors:
    Maciej Borodzik, Jennifer Hom, Andrzej Schinzel
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2019, tom: 118, strony: 441-472), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms.12179 - link to the publication
  2. Untwisting number and Blanchfield pairings
    Authors:
    Maciej Borodzik
    Academic press:
    Osaka J. of Mathematics (rok: 2019, tom: 56, strony: 497-505), Wydawca: Osaka University
    Status:
    Published
    DOI:
    brak - link to the publication
  3. A new polynomial criterion for periodic knots
    Authors:
    Maciej Markiewicz, Wojciech Politarczyk
    Academic press:
    Geom. Dedic. , Wydawca: springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Triangulating surfaces with bounded energy
    Authors:
    Maciej Borodzik, Monika Szczepanowska
    Academic press:
    Journal of Geometric Analysis , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Intermediate links of plane curves
    Authors:
    Arnaud Bodin, Maciej Borodzik
    Academic press:
    Israel Journal of Mathematics (rok: 2018, tom: 227, strony: 63-111), Wydawca: The Hebrew University Magnes Press
    Status:
    Published
    DOI:
    10.1007/s11856-018-1716-y - link to the publication
  6. Khovanov homology and periodic links
    Authors:
    Maciej Borodzik, Wojciech Politarczyk
    Academic press:
    Indiana University Mathematica Journal (rok: 2021, tom: 70, strony: 235-267), Wydawca: Indiana University
    Status:
    Published
    DOI:
    10.1512/iumj.2021.70.8187 - link to the publication
  7. Solid angles and Seifert hypersurfaces
    Authors:
    Maciej Borodzik, Supreedee Dangskul, Andrew Ranicki
    Academic press:
    Annals of Global Analysis and Geometry (rok: 2020, tom: 57, strony: 415-454), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10455-020-09707-8 - link to the publication
  8. Khovanov homotopy type, periodic links and localizations
    Authors:
    Maciej Borodzik, Wojciech Politarczyk, Marithania Silvero
    Academic press:
    Mathematische Annalen (rok: 2021, ), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00208-021-02157-y - link to the publication
  9. Linking forms, finite orthogonal groups and periodicity of links
    Authors:
    Maciej Borodzik, Przemysław Grabowski, Adam Król, Maria Marchwicka
    Academic press:
    Journal of the Mathematical Society of Japan (rok: 2020, tom: 72, strony: 1025-1048), Wydawca: Mathematical Society of Japan
    Status:
    Published
    DOI:
    10.2969/jmsj/82028202 - link to the publication
  10. Rational cuspidal curves in projective surfaces. Topological versus algebraic obstructions
    Authors:
    Maciej Borodzik
    Academic press:
    International Journal of Mathematics (rok: 2017, tom: 28, strony: 45306), Wydawca: world scientific
    Status:
    Published
    DOI:
    10.1142/S0129167X17501063 - link to the publication
  11. Knots not concordant to L-space knots
    Authors:
    Ramazan Yozgyur
    Academic press:
    Periodica Mathematica Hungarica (rok: 2020, tom: 80, strony: 269--273), Wydawca: Janos Bolyai Mathematical Society
    Status:
    Published
    DOI:
    10.1007/s10998-020-00329-y - link to the publication
  12. Non-slice linear combinations of iterated torus knots
    Authors:
    Anthony Conway, Min Hoon Kim, Wojciech Politarczyk
    Academic press:
    Algebraic and Geometric Topology , Wydawca: Mathematical Science Publishers
    Status:
    Submitted
    DOI:
    brak - link to the publication
  13. Up to topological concordance links are strongly quasipositive
    Authors:
    Maciej Borodzik, Peter Feller
    Academic press:
    Journal de mathematiques pures et appliquees (rok: 2019, tom: 132, strony: 273-279), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2019.03.001 - link to the publication
  1. Real Seifert forms, Hodge numbers and Blanchfield pairings
    Authors:
    Maciej Borodzik, Jakub Zarzycki
    Conference:
    Némethi60: Geometry and Topology of Singularities (rok: 2021, ), Wydawca: Birkhauser, Springer 2020
    Data:
    konferencja 2019-05-27 do 2019-05-31
    Status:
    Published

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