Geodesic
An analogue of the Maslov index
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 7, Tome 208 (1993), pp. 133-135 
N. Yu. Netsvetaev. An analogue of the Maslov index. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 7, Tome 208 (1993), pp. 133-135. http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a6/
@article{ZNSL_1993_208_a6,
     author = {N. Yu. Netsvetaev},
     title = {An analogue of the {Maslov} index},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {133--135},
     year = {1993},
     volume = {208},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a6/}
}
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An analogue of the Maslov index is constructed for an $n$-dimensional oriented totally real submanifold of a quasicomplex $2n$-manifold with the first Chern class vanishing modulo $k$. Relationships with the familiar invariants are considered in special cases. Bibliography: 10 titles.