On complex structures¶in 8-dimensional vector bundles

1998 ◽  
Vol 95 (3) ◽  
pp. 323-330
Author(s):  
Martin Čadek ◽  
Jiří Vanžura
Keyword(s):  
Vector Bundles ◽  
Complex Structures ◽  
Dimensional Vector

On complex structures in 8-dimensional vector bundles

1998 ◽  
Vol 95 (1) ◽  
pp. 323-330 ◽  
Author(s):  
Martin Čadek ◽  
Jiří Vanžura
Keyword(s):  
Vector Bundles ◽  
Complex Structures ◽  
Dimensional Vector

STRING EQUATIONS OF MOTION FROM VANISHING CURVATURE

1991 ◽  
Vol 06 (08) ◽  
pp. 1319-1333 ◽  
Author(s):  
MARK J. BOWICK ◽  
KONG-QING YANG
Keyword(s):  
Vector Bundles ◽  
Adiabatic Approximation ◽  
Equations Of Motion ◽  
Bosonic String ◽  
Complex Structures ◽  
Closed Bosonic String

The equations of motion for the massless modes of the closed bosonic string are obtained in the adiabatic approximation from the requirement of the vanishing of the curvature of appropriate vector bundles over the space of complex structures Diff S1/S1. This vanishing is required for physical states to be independent of string parametrization.

scholarly journals QUILLEN EQUIVALENT MODELS FOR THE DERIVED CATEGORY OF FLATS AND THE RESOLUTION PROPERTY

2020 ◽  
pp. 1-19
Author(s):  
SERGIO ESTRADA ◽  
ALEXANDER SLÁVIK
Keyword(s):  
Vector Bundles ◽  
Derived Categories ◽  
Derived Category ◽  
Projective Modules ◽  
Dimensional Vector ◽  
Infinite Dimensional ◽  
Equivalent Models ◽  
Flat Modules ◽  
Quillen Equivalent ◽  
Resolution Property

We investigate the assumptions under which a subclass of flat quasicoherent sheaves on a quasicompact and semiseparated scheme allows us to ‘mock’ the homotopy category of projective modules. Our methods are based on module-theoretic properties of the subclass of flat modules involved as well as their behaviour with respect to Zariski localizations. As a consequence we get that, for such schemes, the derived category of flat quasicoherent sheaves is equivalent to the derived category of very flat quasicoherent sheaves. If, in addition, the scheme satisfies the resolution property then both derived categories are equivalent to the derived category of infinite-dimensional vector bundles. The equivalences are inferred from a Quillen equivalence between the corresponding models.

Complex Structures on Real Vector Bundles

1967 ◽  
Vol 89 (4) ◽  
pp. 887 ◽  
Author(s):  
Emery Thomas
Keyword(s):  
Vector Bundles ◽  
Complex Structures ◽  
Real Vector

scholarly journals Moduli of endomorphisms of semistable vector bundles over a compact Riemann surface

1990 ◽  
Vol 32 (1) ◽  
pp. 1-12 ◽  
Author(s):  
L. Brambila Paz
Keyword(s):  
Riemann Surface ◽  
Vector Bundles ◽  
Compact Riemann Surface ◽  
Vector Spaces ◽  
Dimensional Vector ◽  
Finite Dimensional ◽  
Semistable Vector Bundles

Mumford and Suominen in [8] and Newstead in [11] have considered the moduli problem of classifying the endomorphisms of finite-dimensional vector spaces. Using similar ideas we consider the moduli problem for endomorphisms of indecomposable semistable vector bundles over a compact connected Riemann surface of genus g ≥ 2.

Linear symplectic geometry

2017 ◽  
Author(s):  
Dusa McDuff ◽  
Dietmar Salamon
Keyword(s):  
Symplectic Geometry ◽  
Vector Bundles ◽  
Maslov Index ◽  
Vector Spaces ◽  
Complex Structures ◽  
Homotopy Equivalence ◽  
Linear Complex ◽  
Symplectic Forms ◽  
Lagrangian Subspaces ◽  
First Chern Class

The second chapter introduces the basic concepts of symplectic topology in the linear algebra setting, such as symplectic vector spaces, the linear symplectic group, Lagrangian subspaces, and the Maslov index. In the section on linear complex structures particular emphasis is placed on the homotopy equivalence between the space of symplectic forms and the space of linear complex structures. The chapter includes sections on symplectic vector bundles and the first Chern class.

Sign in / Sign up

Export Citation Format

Share Document