Twisted Homology of Configuration Spaces and Homology of Spaces of Equivariant Maps

Abstract. We calculate homology groups with certain twisted coefficients of configuration spaces of projective spaces. This completes a calculation of rational homology groups of spaces of odd maps of spheres Sm ! SM, m < M, and of the stable homology of spaces of non-resultant polynomial maps Rm+1 ! RM+1. Also, we calculate the homology of spaces of Zr-equivariant maps of odd-dimensional spheres, and discuss further generalizations.

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26.12.2018

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26.12.2018

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GOST	Vasyliev V. Twisted Homology of Configuration Spaces and Homology of Spaces of Equivariant Maps // Doklady Akademii nauk – 2018. – V. 483. – Issue 6 C. 597-601 [Electronic resource]. URL: http://ras.jes.su/dan/s086956520003524-9-1-en (circulation date: 06.05.2024). DOI: 10.31857/S086956520003524-9
MLA	Vasyliev, V. "Twisted Homology of Configuration Spaces and Homology of Spaces of Equivariant Maps." Doklady Akademii nauk 483.6 (2018):597-601. DOI: 10.31857/S086956520003524-9
APA	Vasyliev V. (2018). Twisted Homology of Configuration Spaces and Homology of Spaces of Equivariant Maps. Doklady Akademii nauk 483(6), pp.597-601 DOI: 10.31857/S086956520003524-9

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