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Columbia University

A geometric construction of a Calabi quasimorphism on projective space

Abstract

dc:description

We use the rotation numbers defined by Théret in [T] to construct a quasimorphism on the universal cover of the Hamiltonian group of CPⁿ. We also show that this quasimorphism agrees with the Calabi invariant for isotopies that are supported in displaceable subsets of CPⁿ.

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Carneiro, Andre R.

Subjects

dc:subject × 4

Rights

Language dc:language
English

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:academiccommons.columbia.edu:10.7916/D8N29W9T

Chain of custody

source
Harvested from
Columbia University
Base URL
academiccommons.columbia.edu/oai
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Carneiro, Andre R.. A geometric construction of a Calabi quasimorphism on projective space. 2013. https://doi.org/10.7916/D8N29W9T