Complex Dirac structures with constant real index/ (Record no. 38305)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02875n a2200349#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 39797 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | P5A |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140634.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cuuuuuauuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 200908s2020 bl por d |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | ocm51338542 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | P5A |
| Transcribing agency | P5A |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Teses do IMPA |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Agüero, Dan |
| 9 (RLIN) | 685 |
| 245 10 - TITLE STATEMENT | |
| Title | Complex Dirac structures with constant real index/ |
| Statement of responsibility, etc. | Dan Agüero. |
| 246 11 - VARYING FORM OF TITLE | |
| Title proper/short title | Estruturas de Dirac complexas com índice real constante. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Rio de Janeiro: |
| Name of publisher, distributor, etc. | IMPA, |
| Date of publication, distribution, etc. | 2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | video online |
| 500 ## - GENERAL NOTE | |
| General note | Banca examinadora: Henrique Bursztyn - Orientador - IMPA Roberto Rubio - Coorientador - Univ. Autonoma de Barcelona Reimundo Heluani - IMPA Cristian Ortiz - USP Alejandro Cabrera - UFRJ Thiago Linhares - Suplente - UFRJ. |
| 505 1# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Abstract: This thesis studies complex Dirac structures (i.e., Dirac structures in the complexification of the generalized tangent bundle of a manifold) with constant real index. These objects extend generalized complex structures, which arise when the real index is zero, and encode geometric structures such as presymplectic, transverse holomorphic and CR structures. We introduce a new invariant that we call order, which is an nonnegative integer that allows us to obtain a classification of complex Dirac structures at the linear-algebraic level. We prove that complex Dirac structures with constant real index and order carry a presymplectic foliation which comes from an underlying (real) Dirac structure (generalizing the Poisson structures associated with generalized complex structures). We prove a local splitting theorem for complex Dirac structures with constant real index and order which extends the Abouzaid-Boyarchenko's splitting theorem for generalized complex structures. Finally we focus on complex Dirac structures with real index one; we study a pairing , analogous to the Chevalley-Mukai pairing, which gives information about the dimension of the intersection of the annihilators of two pure spinors. We use it to give a spinorial description of complex Dirac structure with real index one . |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matematica. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 19899 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Teses do IMPA |
| Linkage | 24311 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Bursztyn, Henrique. |
| Affiliation | (IMPA, Brazil) |
| Relator term | orientador |
| 9 (RLIN) | 2937 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Rubio, Roberto |
| Affiliation | (Universidade Autonoma de Barcelona, Espanha) |
| Relator term | co-orientador |
| 9 (RLIN) | 8531 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Heluani, Reimundo. |
| Affiliation | (IMPA, Brazil) |
| 9 (RLIN) | 4335 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ortiz, Cristian |
| Affiliation | (USP, Brazil) |
| 9 (RLIN) | 361 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Cabrera, Alejandro |
| Affiliation | (UFRJ, Brazil) |
| 9 (RLIN) | 6487 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Linhares, Thiago |
| Affiliation | (UFRJ, Brazil) |
| 9 (RLIN) | 686 |
| 711 2# - ADDED ENTRY--MEETING NAME | |
| Meeting name or jurisdiction name as entry element | Defesa de Tese |
| 9 (RLIN) | 10070 |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | VIDEO |
| Uniform Resource Identifier | <a href="https://youtu.be/zge-0o6y5xE">https://youtu.be/zge-0o6y5xE</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
No items available.