Reidemeister torsion (Ex)

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Latest revision as of 12:46, 31 August 2013

Show that the following finite based free \Qq-chain compex concentrated in dimensions 2, 1 and 0 is contractible and compute its Reidemeister torsion:

\displaystyle  \Qq \xrightarrow{\left( \begin{array}{c} 0 \\ r \end{array} \right)} \Qq \oplus \Qq \xrightarrow{\left( \begin{array}{cc} 1 & 0 \end{array} \right)}  \Qq.

[edit] References

$ and -chain compex concentrated in dimensions 2, 1 and 0 is contractible and compute its Reidemeister torsion:

\displaystyle  \Qq \xrightarrow{\left( \begin{array}{c} 0 \\ r \end{array} \right)} \Qq \oplus \Qq \xrightarrow{\left( \begin{array}{cc} 1 & 0 \end{array} \right)}  \Qq.

[edit] References

$ is contractible and compute its Reidemeister torsion: $$ \Qq \xrightarrow{\left( \begin{array}{c} 0 \ r \end{array} \right)} \Qq \oplus \Qq \xrightarrow{\left( \begin{array}{cc} 1 & 0 \end{array} \right)} \Qq. $$ == References == {{#RefList:}} [[Category:Exercises]] [[Category:Exercises with solution]]\Qq-chain compex concentrated in dimensions 2, 1 and 0 is contractible and compute its Reidemeister torsion:

\displaystyle  \Qq \xrightarrow{\left( \begin{array}{c} 0 \\ r \end{array} \right)} \Qq \oplus \Qq \xrightarrow{\left( \begin{array}{cc} 1 & 0 \end{array} \right)}  \Qq.

[edit] References

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