Geodesic
Knörrer periodicity and Bott periodicity
Documenta mathematica, Tome 21 (2016), pp. 1459-1501
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

The goal of this article is to explain a precise sense in which Knörrer periodicity in commutative algebra and Bott periodicity in topological K-theory are compatible phenomena. Along the way, we prove an 8-periodic version of Knörrer periodicity for real isolated hypersurface singularities, and we construct a homomorphism from the Grothendieck group of the homotopy category of matrix factorizations of a complex (real) polynomial f into the topological K-theory of its Milnor fiber (positive or negative Milnor fiber).
DOI : 10.4171/dm/x6
Classification : 13D15, 18D20, 32S55, 55N15
Mots-clés : matrix factorizations, Bott periodicity, Milnor fibration, Atiyah-Bott-Shapiro construction, Knörrer periodicity 
@article{10_4171_dm_x6,
     author = {Michael K. Brown},
     title = {Kn\"orrer periodicity and {Bott} periodicity},
     journal = {Documenta mathematica},
     pages = {1459--1501},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/x6},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x6/}
}
TY  - JOUR
AU  - Michael K. Brown
TI  - Knörrer periodicity and Bott periodicity
JO  - Documenta mathematica
PY  - 2016
SP  - 1459
EP  - 1501
VL  - 21
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/x6/
DO  - 10.4171/dm/x6
ID  - 10_4171_dm_x6
ER  - 
%0 Journal Article
%A Michael K. Brown
%T Knörrer periodicity and Bott periodicity
%J Documenta mathematica
%D 2016
%P 1459-1501
%V 21
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/x6/
%R 10.4171/dm/x6
%F 10_4171_dm_x6
Michael K. Brown. Knörrer periodicity and Bott periodicity. Documenta mathematica, Tome 21 (2016), pp. 1459-1501. doi: 10.4171/dm/x6

Cité par Sources :