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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Selected topics in knot theory

2019/35/B/ST1/01120

Keywords:

knot link 3-dimensional manifold

Descriptors:

  • ST1_6: Topology
  • ST1_5: Geometry

Panel:

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

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk, Wydział Matematyki, Informatyki i Mechaniki

woj.

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Maciej Edward Borodzik 

Number of co-investigators in the project: 7

Call: OPUS 18 - announced on 2019-09-16

Amount awarded: 796 800 PLN

Project start date (Y-m-d): 2020-07-14

Project end date (Y-m-d): 2024-10-13

Project duration:: 51 months (the same as in the proposal)

Project status: Project completed

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.

Information in the final report

  • Publication in academic press/journals (22)
  1. Twisted Blanchfield pairings and twisted signatures II: Relation to Casson-Gordon invariants
    Authors:
    Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
    Academic press:
    J. Inst. Math. Jussieu (rok: 2022, tom: n/a, strony: n/a), Wydawca: Cambridge University Press
    Status:
    Submitted
  2. Khovanov-Rozansky slN-homology for periodic links
    Authors:
    Maciej Borodzik, Wojciech Politarczyk, Ramazan Yozgyur
    Academic press:
    Math. Res. Letters (rok: 2023, tom: n/a, strony: n/a), Wydawca: International Press
    Status:
    Submitted
  3. Heegaard Floer homology and plane curves with non-cuspidal singularities
    Authors:
    Maciej Borodzik, Beibei Liu, Ian Zemke
    Academic press:
    Algebraic and Geometric Topology (rok: 2023, tom: nie przypisany jeszcze, strony: jeszcze nie przypisana), Wydawca: MSP
    Status:
    Accepted for publication
    DOI:
    jeszcze - link to the publication
  4. Twisted Blanchfield pairings and twisted signatures I: Algebraic background
    Authors:
    Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
    Academic press:
    Linear Algebra and Applications (rok: 2022, tom: 655, strony: 236-290), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2022.09.011 - link to the publication
  5. Twisted Blanchfield pairings and twisted signatures II: Relation to Casson-Gordon invariants
    Authors:
    Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
    Academic press:
    International Math. Research Notices
    Status:
    Submitted
  6. Twisted Blanchfield pairings and twisted signatures I: Algebraic background
    Authors:
    Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
    Academic press:
    Linear Algebra and Applications (rok: 2022, tom: 655, strony: 236-290), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2022.09.011 - link to the publication
  7. Twisted Blanchfield pairings and twisted signatures III: Applications
    Authors:
    Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
    Academic press:
    Michigan Mathematical Journal
    Status:
    Submitted
  8. Lattice homology, formality, and plumbed L-space links
    Authors:
    Maciej Borodzik, Beibei Liu, Ian Zemke
    Academic press:
    Journal of the European Math. Society (rok: 2023, tom: n/a, strony: n/a), Wydawca: European Mathematical Society
    Status:
    Submitted
  9. Lattice homology, formality, and plumbed L-space links
    Authors:
    Maciej Borodzik, Beibei Liu, Ian Zemke
    Academic press:
    Journal of the European Math. Society (rok: 2023, tom: n/a, strony: n/a), Wydawca: European Mathematical Society
    Status:
    Submitted
  10. Limits of the Tristram--Levine signature function
    Authors:
    Maciej Borodzik, Jakub Zarzycki
    Academic press:
    Journal of Knot Theory and Ramifications (rok: 2022, tom: 31, strony: ), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0218216522500481 - link to the publication
  11. Triangulating surfaces with bounded energy
    Authors:
    Maciej Borodzik, Monika Szczepanowska
    Academic press:
    Journal of Geometric Analysis (rok: 2022, tom: 32, strony: ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-022-00992-2 - link to the publication
  12. Triangulating surfaces with bounded energy
    Authors:
    Maciej Borodzik, Monika Szczepanowska
    Academic press:
    Journal of Geometric Analysis (rok: 2022, tom: 32, strony: ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-022-00992-2 - link to the publication
  13. Limits of the Tristram--Levine signature function
    Authors:
    Maciej Borodzik, Jakub Zarzycki
    Academic press:
    Journal of Knot Theory and Ramifications (rok: 2022, tom: 31, strony: ), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0218216522500481 - link to the publication
  14. Heegaard Floer homology and plane curves with non-cuspidal singularities
    Authors:
    Maciej Borodzik, Beibei Liu, Ian Zemke
    Academic press:
    Algebraic and Geometric Topology (rok: 2023, tom: nie przypisany jeszcze, strony: jeszcze nie przypisana), Wydawca: MSP
    Status:
    Accepted for publication
    DOI:
    jeszcze - link to the publication
  15. Limits of the Tristram--Levine signature function
    Authors:
    Maciej Borodzik, Jakub Zarzycki
    Academic press:
    Journal of Knot Theory and Ramifications (rok: 2022, tom: 31, strony: ), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0218216522500481 - link to the publication
  16. Triangulating surfaces with bounded energy
    Authors:
    Maciej Borodzik, Monika Szczepanowska
    Academic press:
    Journal of Geometric Analysis (rok: 2022, tom: 32, strony: ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-022-00992-2 - link to the publication
  17. Twisted Blanchfield pairings and twisted signatures I: Algebraic background
    Authors:
    Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
    Academic press:
    Linear Algebra and Applications
    Status:
    Submitted
  18. Khovanov-Rozansky slN-homology for periodic links
    Authors:
    Maciej Borodzik, Wojciech Politarczyk, Ramazan Yozgyur
    Academic press:
    Math. Res. Letters (rok: 2023, tom: n/a, strony: n/a), Wydawca: International Press
    Status:
    Submitted
  19. Twisted Blanchfield pairings and twisted signatures III: Applications
    Authors:
    Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
    Academic press:
    Michigan Mathematical Journal
    Status:
    Submitted
  20. Twisted Blanchfield pairings and twisted signatures II: Relation to Casson-Gordon invariants
    Authors:
    Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
    Academic press:
    J. Inst. Math. Jussieu (rok: 2022, tom: n/a, strony: n/a), Wydawca: Cambridge University Press
    Status:
    Submitted
  21. Twisted Blanchfield pairings and twisted signatures III: Applications
    Authors:
    Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
    Academic press:
    Michigan Mathematical Journal
    Status:
    Submitted
  22. Heegaard Floer homology and plane curves with non-cuspidal singularities
    Authors:
    Maciej Borodzik, Beibei Liu, Ian Zemke
    Academic press:
    Algebraic and Geometric Topology
    Status:
    Submitted

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