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020 ▼a 9780438325340
035 ▼a (MiAaPQ)AAI10822116
035 ▼a (MiAaPQ)berkeley:17987
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0820 ▼a 510
1001 ▼a Gerig, Christopher A.
24510 ▼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.
5021 ▼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
71020 ▼a University of California, Berkeley. ▼b Mathematics.
7730 ▼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
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998444 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자