Cycles on algebraic models of smooth manifolds

Kucharz, Wojciech. "Cycles on algebraic models of smooth manifolds." Journal of the European Mathematical Society 011.2 (2009): 393-405. <http://eudml.org/doc/277623>.

@article{Kucharz2009,
abstract = {Every compact smooth manifold $M$ is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of $M$. We study modulo 2 homology classes represented by algebraic subsets of $X$, as $X$ runs through the class of all algebraic models of $M$. Our main result concerns the case where $M$ is a spin manifold.},
author = {Kucharz, Wojciech},
journal = {Journal of the European Mathematical Society},
keywords = {real algebraic sets; algebraic cohomology classes; algebraic models; real algebraic sets; algebraic cohomology classes; algebraic models},
language = {eng},
number = {2},
pages = {393-405},
publisher = {European Mathematical Society Publishing House},
title = {Cycles on algebraic models of smooth manifolds},
url = {http://eudml.org/doc/277623},
volume = {011},
year = {2009},
}

TY - JOUR
AU - Kucharz, Wojciech
TI - Cycles on algebraic models of smooth manifolds
JO - Journal of the European Mathematical Society
PY - 2009
PB - European Mathematical Society Publishing House
VL - 011
IS - 2
SP - 393
EP - 405
AB - Every compact smooth manifold $M$ is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of $M$. We study modulo 2 homology classes represented by algebraic subsets of $X$, as $X$ runs through the class of all algebraic models of $M$. Our main result concerns the case where $M$ is a spin manifold.
LA - eng
KW - real algebraic sets; algebraic cohomology classes; algebraic models; real algebraic sets; algebraic cohomology classes; algebraic models
UR - http://eudml.org/doc/277623
ER -