holonomy algebra
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2016 ◽  
Vol 28 (6) ◽  
Author(s):  
Josua Groeger

AbstractThere are two different notions of holonomy in supergeometry, the supergroup introduced by Galaev and our functorial approach motivated by super Wilson loops. Either theory comes with its own version of invariance of vectors and subspaces under holonomy. By our first main result, the Twofold Theorem, these definitions are equivalent. Our proof is based on the Comparison Theorem, our second main result, which characterises Galaev’s holonomy algebra as an algebra of coefficients, building on previous results. As an application, we generalise some of Galaev’s results to



2014 ◽  
Vol 105 (2) ◽  
pp. 199-219 ◽  
Author(s):  
Anton S. Galaev




1968 ◽  
Vol 20 (2) ◽  
pp. 248-253
Author(s):  
Hidekiyo Wakakuwa


1968 ◽  
Vol 2 (4) ◽  
pp. 347-353 ◽  
Author(s):  
Richard L. Bishop


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