LDR | | 02002nmm uu200397 4500 |
001 | | 000000333443 |
005 | | 20240805173034 |
008 | | 181129s2018 |||||||||||||||||c||eng d |
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▼a 9780438325340 |
035 | |
▼a (MiAaPQ)AAI10822116 |
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▼a (MiAaPQ)berkeley:17987 |
040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
082 | 0 |
▼a 510 |
100 | 1 |
▼a Gerig, Christopher A. |
245 | 10 |
▼a Seiberg-Witten and Gromov Invariants for Self-dual Harmonic 2-Forms. |
260 | |
▼a [S.l.] :
▼b University of California, Berkeley.,
▼c 2018 |
260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
300 | |
▼a 100 p. |
500 | |
▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B. |
500 | |
▼a Adviser: Michael Hutchings. |
502 | 1 |
▼a Thesis (Ph.D.)--University of California, Berkeley, 2018. |
520 | |
▼a For a closed oriented smooth 4-manifold X with b2+(X)>0, the Seiberg-Witten invariants are well-defined. Taubes' "SW=Gr" theorem asserts that if X carries a symplectic form then these invariants are equal to well-defined counts of pseudoholomo |
520 | |
▼a The main results are the following. Given a suitable near-symplectic form w and tubular neighborhood N of its zero set, there are well-defined counts of pseudoholomorphic curves in a completion of the symplectic cobordism (X-N, w) which are asym |
520 | |
▼a In the final chapter, as a non sequitur, a new proof of the Fredholm index formula for punctured pseudoholomorphic curves is sketched. This generalizes Taubes' proof of the Riemann-Roch theorem for compact Riemann surfaces. |
590 | |
▼a School code: 0028. |
650 | 4 |
▼a Mathematics. |
690 | |
▼a 0405 |
710 | 20 |
▼a University of California, Berkeley.
▼b Mathematics. |
773 | 0 |
▼t Dissertation Abstracts International
▼g 80-01B(E). |
773 | |
▼t Dissertation Abstract International |
790 | |
▼a 0028 |
791 | |
▼a Ph.D. |
792 | |
▼a 2018 |
793 | |
▼a English |
856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998444
▼n KERIS |
980 | |
▼a 201812
▼f 2019 |
990 | |
▼a 관리자 |