# Cycles on algebraic models of smooth manifolds

Journal of the European Mathematical Society (2009)

- Volume: 011, Issue: 2, page 393-405
- ISSN: 1435-9855

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topKucharz, 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 -

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