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Topological Quantum Field Theories from Homotopy n ‐Types
Author(s) -
Porter Tim
Publication year - 1998
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610798006838
Subject(s) - homotopy , mathematics , n connected , field (mathematics) , algebraic topology , pure mathematics , topological quantum field theory , type (biology) , algebraic number , quantum field theory , topology (electrical circuits) , quantum , homotopy group , algebra over a field , combinatorics , physics , mathematical physics , quantum mechanics , mathematical analysis , biology , ecology
Using simplicial methods developed in an earlier note, the paper constructs topological quantum field theories using an algebraic model of a homotopy n ‐type as initial data, generalising constructions of Yetter for n =1 and n =2.