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- W2964188088 abstract "Let $M_n$ be the configuration space of equilateral polygonal linkages with $n$ vertices in the Euclidean plane ${mathbb R}^2$. We consider the case that $n$ is odd and set $n=2m+1$. In spite of the long history of research, the homology classes in $H_{m-1}(M_n;{mathbb Z})$ are mysterious and not well-understood. Let $taucolon M_n to M_n$ be the involution induced by complex conjugation. In this paper, we determine the representation matrix of the homomorphism $tau_astcolon H_{m-1}(M_n;{mathbb Z}) to H_{m-1}(M_n;{mathbb Z})$ with respect to a basis of $H_{m-1}(M_n;{mathbb Z})$." @default.
- W2964188088 created "2019-07-30" @default.
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- W2964188088 date "2015-01-01" @default.
- W2964188088 modified "2023-09-25" @default.
- W2964188088 title "On the middle dimensional homology classes of equilateral polygon spaces" @default.
- W2964188088 doi "https://doi.org/10.4310/hha.2015.v17.n2.a1" @default.
- W2964188088 hasPublicationYear "2015" @default.
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