The signature operator on manifolds with a conical singular stratum
From probability to geometry (II) - Volume in honor of the 60th birthday of Jean-Michel Bismut, Astérisque, no. 328 (2009), pp. 1-44. 
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     author = {Br\"uning, Jochen},
     title = {The signature operator on manifolds with a conical singular stratum},
     booktitle = {From probability to geometry (II) - 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 = {1--44},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {328},
     year = {2009},
     language = {en},
     url = {http://archive.numdam.org/item/AST_2009__328__1_0/}
}
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Brüning, Jochen. The signature operator on manifolds with a conical singular stratum, dans From probability to geometry (II) - Volume in honor of the 60th birthday of Jean-Michel Bismut, Astérisque, no. 328 (2009), pp. 1-44. http://archive.numdam.org/item/AST_2009__328__1_0/

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