Geodesic
Families of minimally non-Golod simplicial complexes and polyhedral products
Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 2, pp. 222-237

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider families of simple polytopes $P$ and simplicial complexes K well-known in polytope theory and convex geometry, and show that their moment-angle complexes have some remarkable homotopy properties which depend on combinatorics of the underlying complexes and algebraic properties of their Stanley–Reisner rings. We introduce infinite series of Golod and minimally non-Golod simplicial complexes $K$ with moment-angle complexes $\mathcal Z_K$ having free integral cohomology but not homotopy equivalent to a wedge of spheres or a connected sum of products of spheres respectively. We then prove a criterion for a simplicial multiwedge and composition of complexes to be Golod and minimally non-Golod and present a class of minimally non-Golod polytopal spheres. 
@article{DVMG_2015_15_2_a6,
     author = {I. Yu. Limonchenko},
     title = {Families of minimally {non-Golod} simplicial complexes and polyhedral products},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {222--237},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2015_15_2_a6/}
}
TY  - JOUR
AU  - I. Yu. Limonchenko
TI  - Families of minimally non-Golod simplicial complexes and polyhedral products
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2015
SP  - 222
EP  - 237
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2015_15_2_a6/
LA  - ru
ID  - DVMG_2015_15_2_a6
ER  - 
%0 Journal Article
%A I. Yu. Limonchenko
%T Families of minimally non-Golod simplicial complexes and polyhedral products
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2015
%P 222-237
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2015_15_2_a6/
%G ru
%F DVMG_2015_15_2_a6
I. Yu. Limonchenko. Families of minimally non-Golod simplicial complexes and polyhedral products. Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 2, pp. 222-237. http://geodesic.mathdoc.fr/item/DVMG_2015_15_2_a6/