지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In this paper, we establish general stratawise higher jet evalu-ation transversality of J-holomorphic curves for a generic choice of almost complex structures J (tame to a given symplectic manifold (M, ω)).
Using this transversality result, we prove that there exists a subset <수식> of second category such that for every <수식>, the dimen-sion of the moduli space of (somewhere injective) J-holomorphic curves with a given ramification profile goes down by 2n or 2(n - 1) depending on whether the ramification degree goes up by one or a new ramification point is created.
We also derive that for each <수식> there are only a finite number of ramification profiles of J-holomorphic curves in a given homology class β ∈ H_2(M ; Z) and provide an explicit upper bound on the number of ramification profiles in terms of c1(β) and the genus g of the domain surface.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
A. Floer / 1988 / The unregularized gradient ow of the symplectic action / Comm. Pure Appl. Math 41 (6) : 775 ~ 813
D. McDuff / 1987 / Examples of symplectic structures / Invent. Math 89 (1) : 13 ~ 36
D. McDuff / 1992 / Singularities of J-holomorphic curves in almost complex 4-manifolds / J. Geom. Anal 2 (3) : 249 ~ 266
I. M. Gelfand / 1968 / Generalized Functions, vol 2 / Academic Press
J.-C. Sikorav / 1994 / Some properties of holomorphic curves in almost complex manifolds / Holomorphic Curves in Symplectic Geometry 165
D. McDuff / 1987 / Examples of symplectic structures / Invent. Math 89 (1) : 13 ~ 36
D. McDuff / 1992 / Singularities of J-holomorphic curves in almost complex 4-manifolds / J. Geom. Anal 2 (3) : 249 ~ 266
I. M. Gelfand / 1968 / Generalized Functions, vol 2 / Academic Press
J.-C. Sikorav / 1994 / Some properties of holomorphic curves in almost complex manifolds / Holomorphic Curves in Symplectic Geometry 165
이 논문의 저자 정보
최근 본 자료
댓글(0)
0