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- W4380136279 abstract "We prove that within a natural class of E_3-algebras, the graded Tor group induced by a span of E_3-algebra maps carries a functorial commutative graded algebra structure generalizing the classical structure when the algebras are genuine commutative differential graded algebras. As a topological corollary, Munkholm's Eilenberg--Moore collapse result for pullbacks of spaces with polynomial cohomology is enhanced to a ring isomorphism. New applications compute the Borel cohomology rings of homogeneous spaces and singular cohomology rings of biquotients with minimal restrictions on coefficient rings; existing results on the singular cohomology rings of free loop spaces and (generalized) homogeneous spaces are respectively recovered and strengthened." @default.
- W4380136279 created "2023-06-10" @default.
- W4380136279 creator A5064802010 @default.
- W4380136279 date "2023-06-07" @default.
- W4380136279 modified "2023-09-24" @default.
- W4380136279 title "A ring structure on Tor" @default.
- W4380136279 doi "https://doi.org/10.48550/arxiv.2306.04860" @default.
- W4380136279 hasPublicationYear "2023" @default.
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