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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Homology groups of configuration spaces for particles on graphs

2016/23/N/ST1/03209

Keywords:

Configuration spaces algebraic topology graph theory (co)homology groups quantum mechanics

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_6: Topology
  • ST2_15: Metrology and measurement methods

Panel:

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

Host institution :

Centrum Fizyki Teoretycznej Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

Tomasz Maciążek 

Number of co-investigators in the project: 2

Call: PRELUDIUM 12 - announced on 2016-09-15

Amount awarded: 70 800 PLN

Project start date (Y-m-d): 2017-07-17

Project end date (Y-m-d): 2019-11-16

Project duration:: 28 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 (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  1. Non-abelian quantum statistics on graphs
    Authors:
    Tomasz Maciążek, Adam Sawicki
    Academic press:
    Communications in Mathematical Physics (rok: 2019, tom: 371, strony: 921-973), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-019-03583-5 - link to the publication
  2. Implications of pinned occupation numbers for natural orbital expansions. I: Generalizing the concept of active spaces
    Authors:
    Christian Schilling, Carlos L. Benavides-Riveros, Alexandre Lopes, Tomasz Maciążek, Adam Sawicki
    Academic press:
    New Journal of Physics (rok: 2019, ), Wydawca: IOP Science
    Status:
    Accepted for publication
    DOI:
    10.1088/1367-2630/ab64b0 - link to the publication
  3. Implications of pinned occupation numbers for natural orbital expansions. II: Rigorous derivation and extension to non-fermionic systems
    Authors:
    Tomasz Maciążek, Adam Sawicki, David Gross, Alexandre Lopes, Christian Schilling
    Academic press:
    New Journal of Physics (rok: 2019, ), Wydawca: IOP Science
    Status:
    Accepted for publication
    DOI:
    10.1088/1367-2630/ab64b1 - link to the publication
  4. Torsion in Cohomology Groups of Configuration Spaces
    Authors:
    Tomasz Maciążek, Adam Sawicki
    Academic press:
    Acta Physica Polonica A (rok: 2017, tom: 132, strony: 1695-1698), Wydawca: Polish Academy of Sciences Institute of Physics
    Status:
    Published
    DOI:
    10.12693/APhysPolA.132.1695 - link to the publication
  5. Non-Abelian Anyons on Graphs from Presentations of Graph Braid Groups
    Authors:
    T. Maciążek
    Academic press:
    Acta Physica Polonica A (rok: 2019, tom: 136, strony: 824-833), Wydawca: Polish Academy of Sciences Institute of Physics
    Status:
    Published
    DOI:
    10.12693/APhysPolA.136.824 - link to the publication

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