Geodesic
Investigation of Feynman integrals by homological methods
Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 3, pp. 405-419 
V. A. Golubeva. Investigation of Feynman integrals by homological methods. Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 3, pp. 405-419. http://geodesic.mathdoc.fr/item/TMF_1970_3_3_a9/
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     author = {V. A. Golubeva},
     title = {Investigation of {Feynman} integrals by homological methods},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {405--419},
     year = {1970},
     volume = {3},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_3_3_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A study is made of the integral over $l$-dimensional sphere $\overline\Sigma$ of a meromorphic differential form that has poles on $m$ hyperplanes $\overline P_j$. This integral is a many-valued analytic function with discontinuities across the Landau variety $L$. A study is made of the discontinuities of the integral across $L$ and also the representation of $\pi_1(C^{m(l+1)}-L)$ on the homology group $H_{l^c}(\overline{\Sigma}-\displaystyle\bigcup_{j=1}^m(\overline{\Sigma}\bigcap\overline{P_j}))$ for the case $m=l+1, l+2$.

[1] Appendix to: R. Hwa, V. Teplitz, Homology and Feinman Integrals, Benjamin, New-York, 1966 ; D. Fotiady, F. Pham, Analytic study of some Feinman graphs by homological method, p. 1 | MR

[2] J. B. Boyling, J. Math. Phys., 7:10 (1966) | DOI | MR | Zbl

[3] R. Khua, V. Teplits, Gomologiya i feinmanovskie integraly, «Mir», 1969 | MR

[4] D. Fotiady, Desingularisation des graphes de Feinman, Séminaire sur les équations aux derivées partielles, College de France, 1969 | MR

[5] G. Ponzano, T. Regge, “The monodromy group of one-loop relativistic Feinman integrals”, Problemy teoreticheskoi fiziki, Sb., «Nauka», 1969

[6] E. Cartan, Sur les propriétés topologiques des quadriques complexes, Oeuvres complètes, p. 1, v. 2, Gauthier-Villars, Paris, 1952, page 1227 | MR

[7] F. Fam, Vvedenie v topologicheskoe issledovanie osobennostei Landau, «Mir», 1970