We construct explicit multiplicative and additive structures as well as integration maps on differential extensions of rationally even cohomology theories in the Hopkins–Singer cocycle model. To this end, we consider also a pair-theory for which a long exact sequence is established.
Keywords: differential cohomology, generalized cohomology, higher algebraic structure, products, integration
Upmeier, Markus  1
@article{10_2140_agt_2015_15_65,
author = {Upmeier, Markus},
title = {Algebraic structure and integration maps in cocycle models for differential cohomology},
journal = {Algebraic and Geometric Topology},
pages = {65--83},
year = {2015},
volume = {15},
number = {1},
doi = {10.2140/agt.2015.15.65},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2015.15.65/}
}
TY - JOUR AU - Upmeier, Markus TI - Algebraic structure and integration maps in cocycle models for differential cohomology JO - Algebraic and Geometric Topology PY - 2015 SP - 65 EP - 83 VL - 15 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2015.15.65/ DO - 10.2140/agt.2015.15.65 ID - 10_2140_agt_2015_15_65 ER -
%0 Journal Article %A Upmeier, Markus %T Algebraic structure and integration maps in cocycle models for differential cohomology %J Algebraic and Geometric Topology %D 2015 %P 65-83 %V 15 %N 1 %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2015.15.65/ %R 10.2140/agt.2015.15.65 %F 10_2140_agt_2015_15_65
Upmeier, Markus. Algebraic structure and integration maps in cocycle models for differential cohomology. Algebraic and Geometric Topology, Tome 15 (2015) no. 1, pp. 65-83. doi: 10.2140/agt.2015.15.65
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