Geodesic
A~description of characteristic classes of real submanifolds in complex manifolds via
Izvestiya. Mathematics , Tome 59 (1995) no. 5, pp. 899-918

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Let $X$ be a complex manifold, $M\subset X$ a (closed, orient) real submanifold, and $S\subset M$ the set of RC-singular points of $M$. We study the connection between the global topological characteristics of $S$ and the topology of $M$ and $X$. For the case of discrete $S$ we introduce a notion of an isolate RC-singular point and obtain a formula expressing the sun of indices over $S$ in terms of the Chern classes of $X$ and the Pontryagin classes of $M$ and of the normal bundle to $M$ in $X$ (Theorem 1). In the general case we express the Poincare dual to $S$ (Theorem 2) and the Poincare duals to some cycles carried by subsets of $S$ (Theorem 3) in a similar way. 
@article{IM2_1995_59_5_a1,
     author = {A. V. Domrin},
     title = {A~description of characteristic classes of real submanifolds in complex manifolds via},
     journal = {Izvestiya. Mathematics },
     pages = {899--918},
     publisher = {mathdoc},
     volume = {59},
     number = {5},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a1/}
}
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A. V. Domrin. A~description of characteristic classes of real submanifolds in complex manifolds via. Izvestiya. Mathematics , Tome 59 (1995) no. 5, pp. 899-918. http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a1/