{"id":{"repo_id":"umn","oai_identifier":"oai:conservancy.umn.edu:11299/206672"},"canonical_url":"https://search.dev.ndltd.org/etd/umn/oai:conservancy.umn.edu:11299/206672","repository":{"repo_id":"umn","name":"University of Minnesota","base_url":"https://conservancy.umn.edu/server/oai/request"},"display":{"title":"On the super Mumford form in the presence of Ramond and Neveu-Schwarz punctures","abstract":"We generalize the result of Voronov (1988) to give an expression for the super Mumford form on the moduli spaces of super Riemann surfaces with Ramond and Neveu–Schwarz punctures. In the Ramond case we take the number of punctures to be large compared to the genus. We consider for the case of Neveu-Schwarz punctures the super Mumford form over the component of the moduli space corresponding to an odd spin structure. The super Mumford form can be used to create a measure whose integral computes scattering amplitudes of superstring theory. We express it in terms of local bases of global sections of tensor powers of the Berezinian line bundle of a family of super Riemann surfaces.","abstract_html":"We generalize the result of Voronov (1988) to give an expression for the super Mumford form on the moduli spaces of super Riemann surfaces with Ramond and Neveu–Schwarz punctures. In the Ramond case we take the number of punctures to be large compared to the genus. We consider for the case of Neveu-Schwarz punctures the super Mumford form over the component of the moduli space corresponding to an odd spin structure. The super Mumford form can be used to create a measure whose integral computes scattering amplitudes of superstring theory. We express it in terms of local bases of global sections of tensor powers of the Berezinian line bundle of a family of super Riemann surfaces.","abstract_has_math":false,"creators":["Diroff, Daniel"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-07","date_published":"2019-07","updated_at":"2026-07-24T05:19:58Z","subjects":["Algebraic geometry","Mumford isomorphism","Strings and superstrings","Supermoduli","Super Riemann surfaces"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11299/206672","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Diroff, Daniel"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2019-09-17T16:25:10Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2019-09-17T16:25:10Z"]},{"key":"dc:date.issued","label":"Date","values":["2019-07"]},{"key":"dc:type","label":"Dc Type","values":["Thesis or Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Algebraic geometry","Mumford isomorphism","Strings and superstrings","Supermoduli","Super Riemann surfaces"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11299/206672"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["University of Minnesota Ph.D. dissertation. JUly 2019. Major: Mathematics. Advisor: Alexander Voronov. 1 computer file (PDF); v, 98 pages."]},{"key":"dc:description.abstract","label":"Abstract","values":["We generalize the result of Voronov (1988) to give an expression for the super Mumford form on the moduli spaces of super Riemann surfaces with Ramond and Neveu–Schwarz punctures. In the Ramond case we take the number of punctures to be large compared to the genus. We consider for the case of Neveu-Schwarz punctures the super Mumford form over the component of the moduli space corresponding to an odd spin structure. The super Mumford form can be used to create a measure whose integral computes scattering amplitudes of superstring theory. We express it in terms of local bases of global sections of tensor powers of the Berezinian line bundle of a family of super Riemann surfaces."]},{"key":"dc:title","label":"Title","values":["On the super Mumford form in the presence of Ramond and Neveu-Schwarz punctures"]}]}],"canonical_facts":{"dc:creator":["Diroff, Daniel"],"dc:date.accessioned":["2019-09-17T16:25:10Z"],"dc:date.available":["2019-09-17T16:25:10Z"],"dc:date.issued":["2019-07"],"dc:description":["University of Minnesota Ph.D. dissertation. JUly 2019. Major: Mathematics. Advisor: Alexander Voronov. 1 computer file (PDF); v, 98 pages."],"dc:description.abstract":["We generalize the result of Voronov (1988) to give an expression for the super Mumford form on the moduli spaces of super Riemann surfaces with Ramond and Neveu–Schwarz punctures. In the Ramond case we take the number of punctures to be large compared to the genus. We consider for the case of Neveu-Schwarz punctures the super Mumford form over the component of the moduli space corresponding to an odd spin structure. The super Mumford form can be used to create a measure whose integral computes scattering amplitudes of superstring theory. We express it in terms of local bases of global sections of tensor powers of the Berezinian line bundle of a family of super Riemann surfaces."],"dc:identifier.uri":["http://hdl.handle.net/11299/206672"],"dc:language.iso":["en"],"dc:subject":["Algebraic geometry","Mumford isomorphism","Strings and superstrings","Supermoduli","Super Riemann surfaces"],"dc:title":["On the super Mumford form in the presence of Ramond and Neveu-Schwarz punctures"],"dc:type":["Thesis or Dissertation"]},"updated_at":"2026-07-24T05:19:58Z"}