Golodness and polyhedral products for two-dimensional simplicial complexes
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Kouyemon Iriye
Abstract
Golodness of two-dimensional simplicial complexes is studied through polyhedral products, and combinatorial and topological characterizations of Golodness of surface triangulations are given. An answer to the question of Berglund is also given so that there is a two-dimensional simplicial complex which is rationally Golod but not Golod over
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 26400094
Award Identifier / Grant number: 17K05248
Funding statement: Kouyemon Iriye is supported by JSPS KAKENHI (No. 26400094), and Daisuke Kishimoto is supported by JSPS KAKENHI (No. 17K05248).
References
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Articles in the same Issue
- Frontmatter
- The variance of divisor sums in arithmetic progressions
- Characterizing Lie groups by controlling their zero-dimensional subgroups
- CM cycles on Kuga–Sato varieties over Shimura curves and Selmer groups
- Towards a Goldberg–Shahidi pairing for classical groups
- On the non-existence of cyclic splitting fields for division algebras
- Sequential motion planning algorithms in real projective spaces: An approach to their immersion dimension
- Very ampleness of the bicanonical line bundle on compact complex 2-ball quotients
- Anharmonic solutions to the Riccati equation and elliptic modular functions
- A non-homogeneous local Tb theorem for Littlewood–Paley g*λ-function with Lp-testing condition
- Saturation rank for finite group schemes: Finite groups and infinitesimal group schemes
- On symplectic semifield spreads of PG(5,q2), q odd
- From Freudenthal’s spectral theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra
- Golodness and polyhedral products for two-dimensional simplicial complexes
Articles in the same Issue
- Frontmatter
- The variance of divisor sums in arithmetic progressions
- Characterizing Lie groups by controlling their zero-dimensional subgroups
- CM cycles on Kuga–Sato varieties over Shimura curves and Selmer groups
- Towards a Goldberg–Shahidi pairing for classical groups
- On the non-existence of cyclic splitting fields for division algebras
- Sequential motion planning algorithms in real projective spaces: An approach to their immersion dimension
- Very ampleness of the bicanonical line bundle on compact complex 2-ball quotients
- Anharmonic solutions to the Riccati equation and elliptic modular functions
- A non-homogeneous local Tb theorem for Littlewood–Paley g*λ-function with Lp-testing condition
- Saturation rank for finite group schemes: Finite groups and infinitesimal group schemes
- On symplectic semifield spreads of PG(5,q2), q odd
- From Freudenthal’s spectral theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra
- Golodness and polyhedral products for two-dimensional simplicial complexes
