| Title: | VASSILIEV INVARIANTS AND FUNCTIONAL INTEGRATION WITHOUT INTEGRATION |
| DOI No: | 10.1142/9789812702364_0004 |
| Source: | STOCHASTIC ANALYSIS AND MATHEMATICAL PHYSICS (pp 91-114)
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| Author(s): | LOUIS H. KAUFFMAN
Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 South Morgan Street, Chicago, IL, 60607-7045, USA
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| Abstract: | This paper is an exposition of the relationship between Witten’s functional integral and the theory of Vassiliev Invariants of knots and links in three dimensional space. We show how to conceptualize the functional integral in terms of equivalence classes of functionals of gauge fields. This approach makes it possible to discuss heuristics for functional integration in a mathematical framework. |
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