{"id":{"repo_id":"columbia-diss","oai_identifier":"oai:academiccommons.columbia.edu:10.7916/D8N29W9T"},"canonical_url":"https://search.dev.ndltd.org/etd/columbia-diss/oai:academiccommons.columbia.edu:10.7916/D8N29W9T","repository":{"repo_id":"columbia-diss","name":"Columbia University","base_url":"https://academiccommons.columbia.edu/oai"},"display":{"title":"A geometric construction of a Calabi quasimorphism on projective space","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Carneiro, Andre R."],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013","date_published":"2013","updated_at":"2026-07-24T01:44:29Z","subjects":["Mathematics","Calabi-Yau manifolds","Morphisms (Mathematics)","Group theory"],"languages":["English"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://doi.org/10.7916/D8N29W9T","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Carneiro, Andre R."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2013"]},{"key":"dc:type","label":"Dc Type","values":["Theses"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics","Calabi-Yau manifolds","Morphisms (Mathematics)","Group theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://doi.org/10.7916/D8N29W9T"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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."]},{"key":"dc:title","label":"Title","values":["A geometric construction of a Calabi quasimorphism on projective space"]}]}],"canonical_facts":{"dc:creator":["Carneiro, Andre R."],"dc:date":["2013"],"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."],"dc:identifier":["https://doi.org/10.7916/D8N29W9T"],"dc:language":["English"],"dc:subject":["Mathematics","Calabi-Yau manifolds","Morphisms (Mathematics)","Group theory"],"dc:title":["A geometric construction of a Calabi quasimorphism on projective space"],"dc:type":["Theses"]},"updated_at":"2026-07-24T01:44:29Z"}