Daniel Galviz

collaborators

5 papers

math.QA2026

Equivalence of toral Chern-Simons and Reshetikhin-Turaev theories

Daniel Galviz

We prove a natural isomorphism between toral Chern-Simons theory with gauge group $T = t / I^ ≅ U (1)^{n}$ and the Reshetikhin-Turaev theory associated with the finit…

math.QA2026

Equivalence of Extended $U (1)$ Chern-Simons and Reshetikhin-Turaev TQFTs

Daniel Galviz

We establish the equivalence between $U (1)$ Chern-Simons and Reshetikhin-Turaev TQFTs associated with finite quadratic modules. For gauge group $U (1)$ and even level $k$ , we prove…

math.QA2026

Classification of Extended Abelian Chern-Simons Theories

Daniel Galviz

We classify extended Abelian Chern-Simons theories with gauge group $U (1)^{n}$ as extended $(2 + 1)$ -dimensional topological quantum field theories. For an even integral nondegenerate…

math-ph2026

A Rigorous Functional-Integral Construction of Toral Chern-Simons Theory

Daniel Galviz

We construct the functional integral of Abelian Chern-Simons theory with toral gauge group $T = t / I^ ≅ U (1)^{n}$ at level $K$ , where $K : I^ \times I^ \to Z$ is…

math-ph2026

Toral Chern-Simons TQFT via Geometric Quantization in Real Polarization

Daniel Galviz

We construct toral Chern-Simons theory with gauge group $T = t / I^ ≅ U (1)^{n}$ from an even, integral, nondegenerate symmetric bilinear form $K:Î\timesÎ\to\mathbb…

Equivalence of toral Chern-Simons and Reshetikhin-Turaev theories

Equivalence of Extended U(1) Chern-Simons and Reshetikhin-Turaev TQFTs

Classification of Extended Abelian Chern-Simons Theories

A Rigorous Functional-Integral Construction of Toral Chern-Simons Theory

Toral Chern-Simons TQFT via Geometric Quantization in Real Polarization

Equivalence of Extended $U (1)$ Chern-Simons and Reshetikhin-Turaev TQFTs