nLab João Faria Martins

Selected writings

On the relation between the Turaev-Viro model and the Crane-Yetter model:

On spin networks,

On the Yetter invariant,

  • João Faria Martins and Tim Porter, On Yetter’s invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups, Theory and Applications of Categories, Vol. 18, 2007, No. 4, pp 118-150.


On 2-crossed modules, 2-crossed complexes and the maps and homotopies between such,

  • Joao Faria Martins, The fundamental 2-crossed complex of a reduced CW-complex, Homology Homotopy Appl. 13(2): 129-157 (2011) (web pdf.)

  • Björn Gohla? and João Faria Martins, Pointed homotopy and pointed lax homotopy of 2-crossed module maps, Advances in Mathematics, (248), (2013), Pages 986 - 1049, doi

On motion groupoids and mapping class groups:

On Quinn’s finite homotopy field theory:

category: people

Last revised on June 18, 2024 at 05:45:05. See the history of this page for a list of all contributions to it.