7 papers
Math and Physics
Jose M. F. Labastida
I present a brief review on some of the recent developments in topological quantum field theory. These include topological string theory, topological Yang-Mills theory and Chern-Si…
A New Point of View in the Theory of Knot and Link Invariants
Jose M. F. Labastida, Marcos Marino
Recent progress in string theory has led to a reformulation of quantum-group polynomial invariants for knots and links into new polynomial invariants whose coefficients can be unde…
Knot Invariants and Chern-Simons Theory
J. M. F. Labastida
A brief review of the development of Chern-Simons gauge theory since its relation to knot theory was discovered in 1988 is presented. The presentation is done guided by a dictionar…
Knot Theory from a Chern-Simons Gauge Theory Point of View
J. M. F. Labastida
A brief summary of the development of perturbative Chern-Simons gauge theory related to the theory of knots and links is presented. Emphasis is made on the progress achieved toward…
Duality in the Context of Topological Quantum Field Theory
J. M. F. Labastida, Carlos Lozano
We present a summary of the progress made in the last few years on topological quantum field theory in four dimensions. In particular, we describe the role played by duality in the…
Vassiliev Invariants in the Context of Chern-Simons Gauge Theory
J. M. F. Labastida, Esther Perez
We summarize the progress made during the last few years on the study of Vassiliev invariants from the point of view of perturbative Chern-Simons gauge theory. We argue that this a…