The loop cohomology of a space with the polynomial cohomology algebra
Given a simply connected space X with polynomial cohomology H ∗ ( X ; Z 2 ) , we calculate the loop cohomology algebra H ∗ ( Ω X ; Z 2 ) by means of the action of the Steenrod cohomology operation S q 1 on H ∗ ( X ; Z 2 ) . This calculation uses an explicit construction of the minimal Hirsch filtere...
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| Format: | Article |
| Language: | English |
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Elsevier
2017-12-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809217300090 |