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
For a closed symplectic 4-manifold X, let Diff0(X) be the group of diffeomorphisms of X smoothly isotopic to the identity, and let Symp(X) be the subgroup of Diff0(X) consisting of symplectic automorphisms.
In this paper we show that for any finitely given collection of positive integers {n1, n2, . . . , nk} and any non-negative integer m, there exists a closed symplectic (or K¨ahler) 4-manifold X with [수식]such that the homologies Hi of the quotient space Diff0(X)/Symp(X)over the rational coefficients are non-trivial for all odd degrees i = 2n1 −1, . . . , 2nk − 1.
The basic idea of this paper is to use the local invariants for symplectic 4-manifolds with contact boundary, which are extended from the invariants of Kronheimer for closed symplectic 4-manifolds, as well as the symplectic compactifications of Stein surfaces of Lisca and Mati´c.
목차
등록된 정보가 없습니다.
참고문헌 (25)
참고문헌 신청
A. Stipsicz / 2001 / On Stein fillings of the 3-torus T3, preprint
B. Aebischer / 1992 / Symplectic Geometry, An introduction based on the seminar in Bern / Birkhauser Verlag
C. McMullen / 1999 / 4-manifolds with inequivalent symplectic forms and 3-manifolds with inequivalent fibrations / Math. Res. Lett. 6 (5) : 681 ~ 696
C. Taubes / 1994 / The Seiberg-Witten invariants and symplectic forms / Math. Res. Lett. 1 (6) : 809 ~ 822
C. Taubes / 1995 / More constraints on symplectic forms from Seiberg-Witten invariants / Math. Res. Lett. 2 (1) : 9 ~ 13
B. Aebischer / 1992 / Symplectic Geometry, An introduction based on the seminar in Bern / Birkhauser Verlag
C. McMullen / 1999 / 4-manifolds with inequivalent symplectic forms and 3-manifolds with inequivalent fibrations / Math. Res. Lett. 6 (5) : 681 ~ 696
C. Taubes / 1994 / The Seiberg-Witten invariants and symplectic forms / Math. Res. Lett. 1 (6) : 809 ~ 822
C. Taubes / 1995 / More constraints on symplectic forms from Seiberg-Witten invariants / Math. Res. Lett. 2 (1) : 9 ~ 13
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Anti-symplectic involutions on non-K\＂ ahler symplectic 4-manifolds
대한수학회지
2007 .01
-
SIMPLY CONNECTED MANIFOLDS OF DIMENSION 4k WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES
순수 및 응용수학
2015 .01
-
Symplectic decomposition of symplectic subspaces
순수 및 응용수학
2015 .01
-
A simply connected manifold with two symplectic deformation equivalence classes with distinct signs of scalar curvatures
대한수학회논문집
2014 .01
-
Some Remarks on Non-Symplectic Automorphisms of K3 Surfaces over a Field of Odd Characteristic
East Asian Mathematical Journal
2014 .01
-
EQUIVARIANT EMBEDDING OF TWO-TORUS INTO SYMPLECTIC MANIFOLD
충청수학회지
2007 .01
-
A note on indecomposable 4-manifolds
대한수학회보
2005 .01
-
SYMPLECTIC 4-MANIFOLDS VIA SYMPLECTIC SURGERY ON COMPLEX SURFACE SINGULARITIES
대한수학회보
2015 .01
-
SCALAR CURVATURE FUNCTIONS OF ALMOST-K¨AHLER METRICS ON A CLOSED SOLV-MANIFOLD
한국수학논문집
2013 .01
-
Exotic smooth structure on $\Bbb {CP}^2\sharp 13 \overline {\Bbb {CP}}^2$
대한수학회지
2006 .01
-
IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS
대한수학회지
2010 .01
-
A NOTE ON SCALAR CURVATURE FUNCTIONS OF ALMOST-KÄAHLER METRICS
순수 및 응용수학
2013 .01
-
EXOTIC SMOOTH STRUCTURES ON (2n + 2l - 1)CP2#(2n + 4l - 1)CP2
대한수학회보
2010 .01
-
Anti-holomorphic twistor and symplectic structure
대한수학회지
2006 .01
-
Primitive Circle Actions on Almost Complex Manifolds with Isolated Fixed Points
East Asian Mathematical Journal
2019 .01
-
Classification of order sixteen non-symplectic automorphisms on K3 surfaces
대한수학회지
2016 .01
-
Normalization of the Hamiltonian and the action spectrum
대한수학회지
2005 .01
-
CLASSIFICATION OF SMOOTH SCHUBERT VARIETIES IN THE SYMPLECTIC GRASSMANNIANS
대한수학회지
2015 .01
-
POISSON DERIVATIONS ACTING ON MULTI-PARAMETER SYMPLECTIC POISSON ALGEBRA
충청수학회지
2004 .01
-
Characteristic Genera of Closed Orientable 3-Manifolds
Kyungpook Mathematical Journal
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0