Shadows of Legendrian Links and J+-theory of Curves
نویسنده
چکیده
We introduce invariants of 2-component fronts similar to Arnold's 1] invariants J following approach of Viro 22] and generalize Viro's formulas to invariants of 1 and 2-component 0-homologous fronts on surfaces of non-zero Euler characteristic. We modify Turaev's construction 19] of link shadows and deene shadows of Legendrian links in ST S 2. This enables us to relate integral formulas for J +-type invariants of fronts to Turaev's 19] shadow formulas for linking and self-linking numbers applied to Legendrian shadows. Other applications of Legendrian shadows, e.g. quantum J-type invariants of fronts are discussed.
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تاریخ انتشار 2007