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Covariance of WDVV equations
The (generalized) WDVV equations for the prepotentials in topological
and Seiberg-Witten models are covariant with respect to non-linear
transformations, described in terms of solutions of associated linear problem.
Both time-variables and the prepotential change non-trivially, but period
matrix (prepotential's second derivatives) remains intact.Comment: LaTeX, 7 pages, no figures (misprints corrected
Towards effective topological field theory for knots
Construction of (colored) knot polynomials for double-fat graphs is further
generalized to the case when "fingers" and "propagators" are substituting
R-matrices in arbitrary closed braids with m-strands. Original version of
arXiv:1504.00371 corresponds to the case m=2, and our generalizations sheds
additional light on the structure of those mysterious formulas. Explicit
expressions are now combined from Racah matrices of the type and mixing matrices in the sectors
. Further extension is provided by composition
rules, allowing to glue two blocks, connected by an m-strand braid (they
generalize the product formula for ordinary composite knots with m=1).Comment: 10 pages + table in Appendi
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