Reidemeister torsion (Ex)

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Show that the following finite based free $\Qq$-chain compex concentrated in dimensions $2$, $1$ and $0$ is contractible
Show that the following finite based free $\Qq$-chain compex concentrated in dimensions $2$, $1$ and $0$ is contractible
and compute its Reidemeister torsion
+
and compute its Reidemeister torsion:
$$ \Qq \xrightarrow{\left( \begin{array}{c} 0 \\ r \end{array} \right)} \Qq \oplus \Qq \xrightarrow{\left( \begin{array}{cc} 1 & 0 \end{array} \right)} \Qq $$
+
$$ \Qq \xrightarrow{\left( \begin{array}{c} 0 \\ r \end{array} \right)} \Qq \oplus \Qq \xrightarrow{\left( \begin{array}{cc} 1 & 0 \end{array} \right)} \Qq. $$
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== References ==
== References ==

Revision as of 10:49, 30 July 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.

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.

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 without 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.

References

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