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Descendants constructed from matter field in Landau–Ginzburg theories coupled to
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 307-316 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is argued that gravitational descendants in the theory of topological gravity coupled to topological Landau–Ginzburg theory(not necessarily conformal) can be constructed from matter fields alone (without metric fields and \hbox {ghosts}). In this sense topological gravity is “induced”. We discuss the mechanism of this effect (that turns out to be connected with K. Saito's higher residue pairing: $K^i(\sigma _i (\Phi _1), \Phi _2)=K^0(\Phi _1, \Phi _2)$),and demonstrate how it works in a simplest nontrivial example: correlator on a sphere with four marked points. We also discuss some results on $k$-point correlators on a sphere. From the idea of “induced” topological gravity it follows that the theory of “pure” topological gravity (without topological matter) is equivalent to the “trivial” Landau–Ginzburg theory (with quadratic superpotential). 
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     title = {Descendants constructed from matter field in {Landau{\textendash}Ginzburg} theories coupled to},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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}
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A. S. Losev. Descendants constructed from matter field in Landau–Ginzburg theories coupled to. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 307-316. http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a14/

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