Geodesic
The space of states and wave equation for the boson string with non-trivial topology of the world surface
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 107-121

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It is shown that the wave functions of the string with a nontrivial topology of the world sheet should oe regarded as sections of linear bundles over the space of conformal classes о of Riemann surfaces. A BRST operator is constructed for an arbitrary type of topology, and its geometric interpretation is given. 
@article{ZNSL_1988_169_a12,
     author = {G. A. Pelts},
     title = {The space of states and wave equation for the boson string with non-trivial topology of the world surface},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {107--121},
     publisher = {mathdoc},
     volume = {169},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a12/}
}
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G. A. Pelts. The space of states and wave equation for the boson string with non-trivial topology of the world surface. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 107-121. http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a12/