메뉴 건너뛰기




Volumn 6, Issue 2, 1998, Pages 331-392

Adiabatic limits of the Seiberg-Witten equations on Seifert manifolds

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039431237     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/cag.1998.v6.n2.a5     Document Type: Article
Times cited : (25)

References (37)
  • 1
    • 84968484140 scopus 로고
    • From vanishing theorems to estimating theorems: The Bochner technique revisited
    • P.H. Bérard, From vanishing theorems to estimating theorems: the Bochner technique revisited, Bull. A.M.S., 19 (1988), 371-406.
    • (1988) Bull. A.M.S. , vol.19 , pp. 371-406
    • Bérard, P.H.1
  • 3
    • 84968468365 scopus 로고
    • η-invariants and their adiabatic limits
    • J.M. Bismut and J. Cheeger, η-invariants and their adiabatic limits, Journ. Amer. Math. Soc., 2 (1989), 33-70.
    • (1989) Journ. Amer. Math. Soc. , vol.2 , pp. 33-70
    • Bismut, J.M.1    Cheeger, J.2
  • 4
    • 0002556426 scopus 로고
    • Contact Manifolds in Riemann Geometry
    • Springer Verlag
    • D.E. Blair, Contact Manifolds In Riemann Geometry, Lecture Notes in Math 509, Springer Verlag, 1976.
    • (1976) Lecture Notes in Math , vol.509
    • Blair, D.E.1
  • 5
    • 0001174310 scopus 로고
    • On contact manifolds
    • W.M. Boothby and H.C. Wang, On contact manifolds, Ann. of Math. vol. 68(1958), 721-734.
    • (1958) Ann. of Math. , vol.68 , pp. 721-734
    • Boothby, W.M.1    Wang, H.C.2
  • 6
    • 0002047890 scopus 로고
    • Vortices in holomorphic line bundles over closed Kahler manifolds
    • S. Bradlow, Vortices in holomorphic line bundles over closed Kahler manifolds, Comm. Math. Phys., 135(1990), 1-17.
    • (1990) Comm. Math. Phys. , vol.135 , pp. 1-17
    • Bradlow, S.1
  • 8
    • 0013509935 scopus 로고
    • On Riemann metrics adapted to three dimensional contact manifolds
    • in the volume "Arbeitstagung Bonn: proceedings of the meeting held in Bonn, June 15-22, 1984", Springer-Verlag
    • S.S. Chern and R.S. Hamilton, On Riemann metrics adapted to three dimensional contact manifolds, in the volume "Arbeitstagung Bonn: proceedings of the meeting held in Bonn, June 15-22, 1984", Lecture Notes in Mathematics, Springer-Verlag 1985, 279-305.
    • (1985) Lecture Notes in Mathematics , pp. 279-305
    • Chern, S.S.1    Hamilton, R.S.2
  • 9
    • 84968510067 scopus 로고
    • Adiabatic limits, nonmultiplicativity of signature and Leray spectral sequence
    • X. Dai, Adiabatic limits, nonmultiplicativity of signature and Leray spectral sequence, J.A.M.S., 4(1991), 265-321.
    • (1991) J.A.M.S. , vol.4 , pp. 265-321
    • Dai, X.1
  • 10
    • 0030538381 scopus 로고    scopus 로고
    • The Seiberg-Witten equations and 4-manifold topology
    • S.K. Donaldson, The Seiberg-Witten equations and 4-manifold topology, B.A.M.S. vol.33 (1996), 45-70.
    • (1996) B.A.M.S. , vol.33 , pp. 45-70
    • Donaldson, S.K.1
  • 13
    • 44049112686 scopus 로고
    • Seifert fibered homology spheres and the Yang-Mills equations on Riemann surfaces with marked points
    • M. Furuta and B. Steer, Seifert fibered homology spheres and the Yang-Mills equations on Riemann surfaces with marked points, Adv. in Math., 96(1992), 38-102.
    • (1992) Adv. in Math. , vol.96 , pp. 38-102
    • Furuta, M.1    Steer, B.2
  • 14
    • 0002188503 scopus 로고
    • Uniqueness theorems for second order elliptic differential equations
    • L. Hörmander, Uniqueness theorems for second order elliptic differential equations, Comm. Part. Diff. Eq. vol. 8 (1983), 21-64.
    • (1983) Comm. Part. Diff. Eq. , vol.8 , pp. 21-64
    • Hörmander, L.1
  • 17
    • 0001278369 scopus 로고
    • The genus of embedded surfaces in the protective plane
    • P.B. Kronheimer and T.S. Mrowka, The genus of embedded surfaces in the protective plane, Math. Res. Letters 1 (1994), 797-808.
    • (1994) Math. Res. Letters , vol.1 , pp. 797-808
    • Kronheimer, P.B.1    Mrowka, T.S.2
  • 19
    • 0000889841 scopus 로고
    • Symmetric products of an algebraic curve
    • MacDonald, Symmetric products of an algebraic curve, Topology, 1 (1962), 319-343.
    • (1962) Topology , vol.1 , pp. 319-343
    • MacDonald, I.G.1
  • 22
    • 84972541405 scopus 로고
    • The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration
    • R. Mazzeo and R. Melrose, The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration, J. Diff. Geom., 31(1990), 183-213.
    • (1990) J. Diff. Geom. , vol.31 , pp. 183-213
    • Mazzeo, R.1    Melrose, R.2
  • 23
    • 0030293457 scopus 로고    scopus 로고
    • A product formula for the Seiberg-Witten invariants and the generalized Thom conjecture
    • J.W. Morgan, Z. Szabo and C.H. Taubes, A product formula for the Seiberg-Witten invariants and the generalized Thom conjecture, Journ. Diff. Geom., 44(1997), 706-788.
    • (1997) Journ. Diff. Geom. , vol.44 , pp. 706-788
    • Morgan, J.W.1    Szabo, Z.2    Taubes, C.H.3
  • 26
    • 0011028842 scopus 로고
    • Geometry of quasihomogeneous surface singularities
    • v.2
    • W.D. Neumann, Geometry of quasihomogeneous surface singularities, Proc. Symp. Pure Math. AMS, 40(1983), v.2, 245-258.
    • (1983) Proc. Symp. Pure Math. AMS , vol.40 , pp. 245-258
    • Neumann, W.D.1
  • 27
    • 0001521507 scopus 로고
    • Seifert manifolds, plumbing, μ-invariant and orientation reversing maps
    • Proc. Alg, and Geom. Topology, (Santa Barbara 1977)
    • W.D. Neumann and F. Raymond, Seifert manifolds, plumbing, μ-invariant and orientation reversing maps, Proc. Alg, and Geom. Topology, (Santa Barbara 1977), Springer Lectures Notes 644, 1978.
    • (1978) Springer Lectures Notes , vol.644
    • Neumann, W.D.1    Raymond, F.2
  • 28
    • 0005272223 scopus 로고
    • 3-manifolds whose universal coverings are Lie groups
    • F. Raymond and A.T. Vasquez, 3-manifolds whose universal coverings are Lie groups, Topology and its applications, 12 (1981), 161-179.
    • (1981) Topology and its Applications , vol.12 , pp. 161-179
    • Raymond, F.1    Vasquez, A.T.2
  • 29
    • 84972536279 scopus 로고
    • On a property of Brieskorn manifolds
    • S. Sasaki, On a property of Brieskorn manifolds, Tohoku Math. J., 28 (1976), 67-78.
    • (1976) Tohoku Math. J. , vol.28 , pp. 67-78
    • Sasaki, S.1
  • 30
    • 0041406287 scopus 로고
    • CR structures on the link of an isolated singular point
    • J. Scherk, CR structures on the link of an isolated singular point, Canadian Math. Soc., Conference Proc., vol. 6 (1986), 397-403.
    • (1986) Canadian Math. Soc., Conference Proc. , vol.6 , pp. 397-403
    • Scherk, J.1
  • 31
    • 0038292676 scopus 로고
    • The geometries of 3-manifolds
    • P. Scott, The geometries of 3-manifolds, Bull. London. Math. Soc., 15 (1983), 401-487.
    • (1983) Bull. London. Math. Soc. , vol.15 , pp. 401-487
    • Scott, P.1
  • 32
    • 84972545621 scopus 로고
    • Self-dual Yang Mills connections on 4-manifolds with indefinite intersection matrix
    • C.H. Taubes, Self-dual Yang Mills connections on 4-manifolds with indefinite intersection matrix, J. Diff. Geom., 19(1984), 517-560.
    • (1984) J. Diff. Geom. , vol.19 , pp. 517-560
    • Taubes, C.H.1
  • 35
    • 0347066025 scopus 로고
    • Three dimensional contact manifolds with vanishing torsion tensor
    • in the volume "Arbeitstagung Bonn: proceedings of the meeting held in Bonn, June 15-22, 1984", Springer-Verlag
    • A. Weinstein, Three dimensional contact manifolds with vanishing torsion tensor, in the volume "Arbeitstagung Bonn: proceedings of the meeting held in Bonn, June 15-22, 1984", Lecture Notes in Mathematics, Springer-Verlag 1985, 306-308.
    • (1985) Lecture Notes in Mathematics , pp. 306-308
    • We1    Weinstein, A.2
  • 37
    • 0003354667 scopus 로고
    • Structures on Manifolds
    • World Scientific
    • K. Yano and M. Kon, Structures On Manifolds, Series in Pure Math. vol. 3, World Scientific, 1984.
    • (1984) Series in Pure Math. , vol.3
    • Yano, K.1    Kon, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.