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The multiplicative genus associated with the formal group law \((x+y-2axy)/(1-(a^ 2+b^ 2)xy)\) - MaRDI portal

The multiplicative genus associated with the formal group law \((x+y-2axy)/(1-(a^ 2+b^ 2)xy)\) (Q1343895)

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scientific article; zbMATH DE number 720176
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English
The multiplicative genus associated with the formal group law \((x+y-2axy)/(1-(a^ 2+b^ 2)xy)\)
scientific article; zbMATH DE number 720176

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    The multiplicative genus associated with the formal group law \((x+y-2axy)/(1-(a^ 2+b^ 2)xy)\) (English)
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    9 February 1995
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    The author studies the multiplicative genus \(\varphi_{a,b} : MU^* \to Q\) associated with the formal group law \(F(x,y) = (x + y - 2axy)/(1 - (a^2 + b^2) xy)\) where \(a\) and \(b\) are rationals. He calculates the values of \(\varphi_{a,b}\) for the Milnor manifolds \( H_{s,k}\). He also discusses the multiplicative genus related to the logarithm of 1/(a polynomial).
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    complex bordism
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    multiplicative genus
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    formal group law
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    Milnor manifolds
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