Witten Laplacian on a lattice spin system
From probability to geometry (I) - Volume in honor of the 60th birthday of Jean-Michel Bismut, Astérisque, no. 327 (2009), pp. 115-129. 
@incollection{AST_2009__327__115_0,
     author = {Shigekawa, Ichiro},
     title = {Witten {Laplacian} on a lattice spin system},
     booktitle = {From probability to geometry (I) - Volume in honor of the 60th birthday of Jean-Michel Bismut},
     editor = {Dai Xianzhe and L\'eandre R\'emi and Xiaonan Ma and Zhang Weiping},
     series = {Ast\'erisque},
     pages = {115--129},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {327},
     year = {2009},
     mrnumber = {2642359},
     zbl = {1217.82022},
     language = {en},
     url = {http://archive.numdam.org/item/AST_2009__327__115_0/}
}
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Shigekawa, Ichiro. Witten Laplacian on a lattice spin system, dans From probability to geometry (I) - Volume in honor of the 60th birthday of Jean-Michel Bismut, Astérisque, no. 327 (2009), pp. 115-129. http://archive.numdam.org/item/AST_2009__327__115_0/

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