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 Jan 12 accepted Van Kampen theorem application in a simple three-holed figure Jan 12 comment Van Kampen theorem application in a simple three-holed figure OK, thanks this gets clearer now ! Jan 11 comment Van Kampen theorem application in a simple three-holed figure So for example the words $a_2 a_1 b_2 a_2$ and $b_1 a_1 b_2 b_1$ belong to the same quotient group. What is the element $n$ of $N$ so that $a_2 a_1 b_2 a_2 + n = b_1 a_1 b_2 b_1$ ? Jan 10 asked Van Kampen theorem application in a simple three-holed figure Jan 10 awarded Popular Question Nov 30 accepted Interpretation of $d\phi(z)$ in differential geometry Nov 29 revised Interpretation of $d\phi(z)$ in differential geometry added 155 characters in body Nov 28 revised Interpretation of $d\phi(z)$ in differential geometry edited body Nov 27 revised Interpretation of $d\phi(z)$ in differential geometry added 16 characters in body Nov 27 revised Interpretation of $d\phi(z)$ in differential geometry deleted 1 character in body Nov 27 asked Interpretation of $d\phi(z)$ in differential geometry Oct 13 comment Divergence as trace of Levi-Civita connection Precisely ! Thank you ! Sep 30 accepted Divergence as trace of Levi-Civita connection Sep 30 comment Divergence as trace of Levi-Civita connection Thank you for the clarification on the differential vs algebraic operators. Isn't the tensor a $(n,n)$-tensor ? Sep 30 revised Divergence as trace of Levi-Civita connection deleted 1 character in body Sep 29 comment Divergence as trace of Levi-Civita connection That is, I do not understand what is the tensorial expression of the operator $Y \rightarrow D_Y X$. Sep 29 revised Divergence as trace of Levi-Civita connection added 7 characters in body Sep 29 comment Divergence as trace of Levi-Civita connection I understand that the trace is a scalar field. What I do not understand is what is the tensor field from which the trace is computed at each point. Sep 29 asked Divergence as trace of Levi-Civita connection Sep 4 accepted Nilpotent ideal and ring homomorphism