FAQ on the g-theorem and the hard Lefschetz theorem for face rings

Karim Adiprasito

FAQ on the g-theorem and the hard Lefschetz theorem for face rings

Karim Adiprasito^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We discuss the hard Lefschetz theorem for simplicial spheres, as well as the theory at its core: Perturbations of maps, biased Poincaré pairings and a cobordism argument that relates the Lefschetz property of a manifold to the Lefschetz property on its boundary, and sketch an alternative argument based on edge-contractions.

Original language	English
Pages (from-to)	97-111
Number of pages	15
Journal	Rendiconti di Matematica e delle Sue Applicazioni
Volume	40
Issue number	2
State	Published - 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 Universita degli Studi di Roma La Sapienza. All rights reserved.

Keywords

Face rings
Hard lefschetz theorem

Cite this

@article{8d422a2d017741fea67378dd8a45706f,

title = "FAQ on the g-theorem and the hard Lefschetz theorem for face rings",

abstract = "We discuss the hard Lefschetz theorem for simplicial spheres, as well as the theory at its core: Perturbations of maps, biased Poincar{\'e} pairings and a cobordism argument that relates the Lefschetz property of a manifold to the Lefschetz property on its boundary, and sketch an alternative argument based on edge-contractions.",

keywords = "Face rings, Hard lefschetz theorem",

author = "Karim Adiprasito",

year = "2019",

language = "אנגלית",

volume = "40",

pages = "97--111",

journal = "Rendiconti di Matematica e delle Sue Applicazioni",

issn = "1120-7183",

publisher = "University of Rome La Sapienza",

number = "2",

}

TY - JOUR

T1 - FAQ on the g-theorem and the hard Lefschetz theorem for face rings

AU - Adiprasito, Karim

PY - 2019

Y1 - 2019

N2 - We discuss the hard Lefschetz theorem for simplicial spheres, as well as the theory at its core: Perturbations of maps, biased Poincaré pairings and a cobordism argument that relates the Lefschetz property of a manifold to the Lefschetz property on its boundary, and sketch an alternative argument based on edge-contractions.

AB - We discuss the hard Lefschetz theorem for simplicial spheres, as well as the theory at its core: Perturbations of maps, biased Poincaré pairings and a cobordism argument that relates the Lefschetz property of a manifold to the Lefschetz property on its boundary, and sketch an alternative argument based on edge-contractions.

KW - Face rings

KW - Hard lefschetz theorem

UR - https://www.scopus.com/pages/publications/85087361903

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85087361903

SN - 1120-7183

VL - 40

SP - 97

EP - 111

JO - Rendiconti di Matematica e delle Sue Applicazioni

JF - Rendiconti di Matematica e delle Sue Applicazioni

IS - 2

ER -

FAQ on the g-theorem and the hard Lefschetz theorem for face rings

Abstract

Bibliographical note

Keywords

Other files and links

Fingerprint

Cite this