Geodesic
An Abel-Jacobi invariant for cobordant cycles
Documenta mathematica, Tome 21 (2016), pp. 1645-1668.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We discuss an Abel-Jacobi invariant for algebraic cobordism cycles whose image in topological cobordism vanishes. The existence of this invariant follows by abstract arguments from the construction of Hodge filtered cohomology theories in joint work of Michael J.Hopkins and the author. In this paper, we give a concrete description of the Abel-Jacobi map and Hodge filtered cohomology groups for projective smooth complex varieties.
Classification : 14F42, 19E15, 55N22, 14F43, 14F35, 14C25, 32Q15
Keywords: Abel-Jacobi map, algebraic cycles, cobordism, Hodge filtered cohomology, Deligne cohomology 
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     author = {Quick, Gereon},
     title = {An {Abel-Jacobi} invariant for cobordant cycles},
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     volume = {21},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a2/}
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Quick, Gereon. An Abel-Jacobi invariant for cobordant cycles. Documenta mathematica, Tome 21 (2016), pp. 1645-1668. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a2/