Variations of abelian differential under quasiconformal deformations

1982 ◽  
Vol 181 (4) ◽  
pp. 435-450
Author(s):  
Yukio Kusunoki ◽  
Fumio Maitani
Keyword(s):  
Abelian Differential ◽  
Quasiconformal Deformations

scholarly journals QUANTUM THEORY OF NON-ABELIAN DIFFERENTIAL FORMS AND LINK POLYNOMIALS

1994 ◽  
Vol 09 (07) ◽  
pp. 609-621
Author(s):  
BOGUSLAW BRODA
Keyword(s):  
Monodromy Matrix ◽  
Differential Forms ◽  
Point Of View ◽  
Quantum Field ◽  
Polynomial Invariants ◽  
Path Integral Representation ◽  
Abelian Differential ◽  
Topological Quantum ◽  
Higher Dimensional ◽  
Reducible System

A topological quantum field theory of non-Abelian differential forms is investigated from the point of view of its possible applications to description of polynomial invariants of higher-dimensional two-component links. A path-integral representation of the partition function of the theory, which is a highly on-shell reducible system, is obtained in the framework of the antibracket-antifield formalism of Batalin and Vilkovisky. The quasi-monodromy matrix, giving rise to corresponding skein relations, is formally derived in a manifestly covariant non-perturbative manner.

scholarly journals On the generalized Teichmüller spaces and differential equations

1976 ◽  
Vol 64 ◽  
pp. 97-115 ◽  
Author(s):  
Akikazu Kuribayashi
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Riemann Surfaces ◽  
Teichmüller Spaces ◽  
Teichmuller Spaces ◽  
Abelian Differential ◽  
The Family

It is well known that for the family F of Riemann surfaces {R(z)} defined by the equations y2 = x(x — l)(x — z), zεC — {0,1}, we have one independent abelian differential ω = y−1dx on each R(z) and if we consider z as a parameter on C — {0,1}, the integrals are solutions of the Gauss’s differential equation

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