Please use this identifier to cite or link to this item:
http://hdl.handle.net/10603/424871
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.coverage.spatial | Mathematics | |
dc.date.accessioned | 2022-12-12T11:39:26Z | - |
dc.date.available | 2022-12-12T11:39:26Z | - |
dc.identifier.uri | http://hdl.handle.net/10603/424871 | - |
dc.description.abstract | In this work, we present a finite generating set (j2 of J-li, the genus-2 Goeritz group of S3, in terms of Dehn twists about certain simple closed curves on the standard Heegaard surface. We present an algorithm that describes an element f EJ-12 as a word in the alphabet of (j 2 in a certain format. Using a complexity measure defined on reducing spheres, we show that such a description off eJ-li is unique. We also present a finite subset (j3 of Jf3, the genus-3 Goeritz group of S3. We show that the elements in (h generates the generating elements of J{j proposed by Freedman and Scharlemann. Thus, we verify that (j 3 is a generating set of_J-6 | |
dc.format.extent | Not Available | |
dc.language | English | |
dc.relation | Not Available | |
dc.rights | self | |
dc.title | Goeritz Groups of Genus Two and Genus Three Heegaard Splitting of the Three Sphere | |
dc.title.alternative | Not available | |
dc.creator.researcher | Panda, Swapnendu | |
dc.subject.keyword | Mathematics | |
dc.subject.keyword | Physical Sciences | |
dc.description.note | Not Available | |
dc.contributor.guide | Palaparthi, Sree Krishna Anantha Sai | |
dc.publisher.place | Guwahati | |
dc.publisher.university | Indian Institute of Technology Guwahati | |
dc.publisher.institution | DEPARTMENT OF MATHEMATICS | |
dc.date.registered | 2012 | |
dc.date.completed | 2021 | |
dc.date.awarded | 2021 | |
dc.format.dimensions | Not Available | |
dc.format.accompanyingmaterial | None | |
dc.source.university | University | |
dc.type.degree | Ph.D. | |
Appears in Departments: | DEPARTMENT OF MATHEMATICS |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
01_fulltext.pdf | Attached File | 5.67 MB | Adobe PDF | View/Open |
04_abstract.pdf | 230.17 kB | Adobe PDF | View/Open | |
80_recommendation.pdf | 343.89 kB | Adobe PDF | View/Open |
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