RT Journal Article
T1 Quantization of algebraic invariants through Topological Quantum Field Theories
A1 González Prieto, José Ángel
AB In this paper we investigate the problem of constructing Topological Quantum Field Theories (TQFTs) to quantize algebraic invariants. We exhibit necessary conditions for quantizability based on Euler characteristics. In the case of surfaces, also provide a partial answer in terms of sufficient conditions by means of almost-TQFTs and almost-Frobenius algebras for wide TQFTs. As an application, we show that the Poincaré polynomial of G-representation varieties is not a quantizable invariant by means of a monoidal TQFTs for any algebraic group G of positive dimension.
PB Elsevier
SN 0393-0440
YR 2023
FD 2023-07
LK https://hdl.handle.net/20.500.14352/104007
UL https://hdl.handle.net/20.500.14352/104007
LA eng
NO González-Prieto, Á. (2023). Quantization of algebraic invariants through Topological Quantum Field Theories. Journal of Geometry and Physics, 189, 104849.
NO 2023 Acuerdos transformativos CRUE
DS Docta Complutense
RD 10 abr 2025