Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings
In this paper, we compute a recursive wall-crossing formula for the Poincaré polynomials and Euler characteristics of Abelian symplectic quotients of a complex projective manifold under a special effective action of a torus with non-trivial characters. An analogy can be made with the space of pure s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/45888/1/POIN.pdf |
| _version_ | 1796974587890630656 |
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| author | Molladavoudi, Saeid Zainuddin, Hishamuddin |
| author_facet | Molladavoudi, Saeid Zainuddin, Hishamuddin |
| author_sort | Molladavoudi, Saeid |
| collection | UPM |
| description | In this paper, we compute a recursive wall-crossing formula for the Poincaré polynomials and Euler characteristics of Abelian symplectic quotients of a complex projective manifold under a special effective action of a torus with non-trivial characters. An analogy can be made with the space of pure states of a composite quantum system containing -quantum bits under action of the maximal torus of Local Unitary operations. |
| first_indexed | 2024-03-06T08:59:13Z |
| format | Article |
| id | upm.eprints-45888 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:59:13Z |
| publishDate | 2015 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | upm.eprints-458882021-04-29T02:39:20Z http://psasir.upm.edu.my/id/eprint/45888/ Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings Molladavoudi, Saeid Zainuddin, Hishamuddin In this paper, we compute a recursive wall-crossing formula for the Poincaré polynomials and Euler characteristics of Abelian symplectic quotients of a complex projective manifold under a special effective action of a torus with non-trivial characters. An analogy can be made with the space of pure states of a composite quantum system containing -quantum bits under action of the maximal torus of Local Unitary operations. Elsevier 2015-10 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/45888/1/POIN.pdf Molladavoudi, Saeid and Zainuddin, Hishamuddin (2015) Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings. Journal of Geometry and Physics, 96. pp. 26-35. ISSN 0393-0440 https://www.sciencedirect.com/science/article/pii/S0393044015001217#! 10.1016/j.geomphys.2015.05.009 |
| spellingShingle | Molladavoudi, Saeid Zainuddin, Hishamuddin Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings |
| title | Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings |
| title_full | Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings |
| title_fullStr | Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings |
| title_full_unstemmed | Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings |
| title_short | Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings |
| title_sort | poincare polynomials for abelian symplectic quotients of pure r qubits via wall crossings |
| url | http://psasir.upm.edu.my/id/eprint/45888/1/POIN.pdf |
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