Geodesic
Some examples of~the calculation of~the scalar determinant in~the theory of~open strings
Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 3, pp. 323-339

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Some examples of calculating the determinant of the Laplace operator are given for scalar fields in the theory of open oriented strings. Relations are exploited between holomorphic functions and differentials on an oriented bordered surface $S$ and its double $D$ and meromorphic functions on a closed oriented surface $S$ which results from gluing up some disks to the components of the boundary $\partial S$. 
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     author = {A. Yu. Morozov and A. A. Roslyi},
     title = {Some examples of~the calculation of~the scalar determinant in~the theory of~open strings},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--339},
     publisher = {mathdoc},
     volume = {80},
     number = {3},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_80_3_a0/}
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A. Yu. Morozov; A. A. Roslyi. Some examples of~the calculation of~the scalar determinant in~the theory of~open strings. Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 3, pp. 323-339. http://geodesic.mathdoc.fr/item/TMF_1989_80_3_a0/