Realizing transfer maps for ramified coverings

Cohen, Ralph L.

doi:10.2140/pjm.1986.122.347

Pacific J. Math.

1986

DOI: 10.2140/pjm.1986.122.347

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Realizing transfer maps for ramified coverings

Ralph L. Cohen¹

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“…They use their trace maps to study the homology of algebraic varieties. On the other hand, Cohen [5] defined a stable version of the transfer of an n-fold ramified covering map, provided that one inverts n!.…”

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confidence: 99%

Transfers for ramified covering maps in homology and cohomology

Aguilar

Prieto

2006

International Journal of Mathematics and Mathematical Sciences

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Making use of a modified version, due to McCord, of the Dold-Thom construction of ordinary homology, we give a simple topological definition of a transfer for ramified covering maps in homology with arbitrary coefficients. The transfer is induced by a suitable map between topological groups. We also define a new cohomology transfer which is dual to the homology transfer. This duality allows us to show that our homology transfer coincides with the one given by L. Smith. With our definition of the homology transfer we can give simpler proofs of the properties of the known transfer and of some new ones. Our transfers can also be defined in Karoubi's approach to homology and cohomology. Furthermore, we show that one can define mixed transfers from other homology or cohomology theories to the ordinary ones.

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confidence: 99%

Transfers for ramified covering maps in homology and cohomology

Aguilar

Prieto

2006

International Journal of Mathematics and Mathematical Sciences

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The transfer for ramified covering G-maps

Aguilar

Prieto

2010

Forum Mathematicum

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Realizing transfer maps for ramified coverings

Cited by 2 publications

References 7 publications

Transfers for ramified covering maps in homology and cohomology

Transfers for ramified covering maps in homology and cohomology

The transfer for ramified covering G-maps

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