scholarly journals Regularized determinants of Laplacians for hermitian line bundles over projective spaces

1995 ◽  
Vol 35 (3) ◽  
pp. 341-355 ◽  
Author(s):  
Lin Weng
Keyword(s):  
Projective Spaces ◽  
Line Bundles ◽  
Determinants Of Laplacians

ν-PROJECTIVE SPACES, ν-LINE BUNDLES AND CHERN CLASSES

2011 ◽  
Vol 08 (02) ◽  
pp. 265-272 ◽  
Author(s):  
S. VARSAIE
Keyword(s):  
Special Kind ◽  
Projective Spaces ◽  
Line Bundles ◽  
Chern Classes

Following the formalism derived from one method of constructing common projective spaces along with using a special kind of odd module homomorphisms, denoted by ν, a novel supergeometric generalization of projective spaces is constructed. Existence of canonical line bundles over these spaces and their Chern classes are discussed.

scholarly journals The index of harmonic maps from surfaces to complex projective spaces

2020 ◽  
Vol 31 (09) ◽  
pp. 2050069
Author(s):  
J. Oliver
Keyword(s):  
Projective Space ◽  
Lower Bounds ◽  
Complex Projective Space ◽  
Harmonic Maps ◽  
Projective Spaces ◽  
Line Bundles ◽  
Complex Projective Spaces ◽  
Holomorphic Sections ◽  
Higher Genus ◽  
Complex Projective

We estimate the dimensions of the spaces of holomorphic sections of certain line bundles to give improved lower bounds on the index of complex isotropic harmonic maps to complex projective space from the sphere and torus, and in some cases from higher genus surfaces.

EVALUATION OF A CLASS OF THE LAPLACE OPERATOR DETERMINANTS CONNECTED WITH QUANTUM GEOMETRY OF p-BRANES

1991 ◽  
Vol 06 (08) ◽  
pp. 669-675 ◽  
Author(s):  
A.A. BYTSENKO ◽  
YU. P. GONCHAROV
Keyword(s):  
Laplace Operator ◽  
Trace Formula ◽  
Real Line ◽  
Line Bundles ◽  
Riemannian Surface ◽  
Quantum Geometry ◽  
Selberg Trace Formula ◽  
Riemannian Surfaces ◽  
Determinants Of Laplacians ◽  
The Laplace Operator

We evaluate the determinants of Laplacians acting in real line bundles over the manifolds Tp−1×H2/Γ, T=S1, H2/Γ is a compact Riemannian surface of genus g>1. Such determinants may be important in building quantum geometry of closed p-branes. The evaluation is based on the Selberg trace formula for compact Riemannian surfaces.

CONIFOLD TRANSITIONS FOR COMPLETE INTERSECTION CALABI–YAU THREEFOLDS IN PRODUCTS OF PROJECTIVE SPACES

2013 ◽  
Vol 15 (04) ◽  
pp. 1350009
Author(s):  
JINXING XU
Keyword(s):  
Complete Intersection ◽  
Projective Spaces ◽  
Line Bundles ◽  
Complex Structures ◽  
Connected Sum ◽  
Connected Sums

We prove that a generic complete intersection Calabi–Yau threefold defined by sections of ample line bundles on a product of projective spaces admits a conifold transition to a connected sum of S3 × S3. In this manner, we obtain complex structures with trivial canonical bundles on some connected sums of S3 × S3. This construction is an analogue of that made by Friedman, Lu and Tian who used quintics in ℙ4.

scholarly journals The Chen–Ruan Cohomology of Weighted Projective Spaces

2007 ◽  
Vol 59 (5) ◽  
pp. 981-1007 ◽  
Author(s):  
Yunfeng Jiang
Keyword(s):  
Projective Space ◽  
Cohomology Ring ◽  
Projective Spaces ◽  
Weighted Projective Space ◽  
Line Bundles ◽  
Cup Product ◽  
Direct Sum

AbstractIn this paper we study the Chen–Ruan cohomology ring of weighted projective spaces. Given a weighted projective space we determine all of its twisted sectors and the corresponding degree shifting numbers. The main result of this paper is that the obstruction bundle over any 3-multisector is a direct sum of line bundles which we use to compute the orbifold cup product. Finally we compute the Chen–Ruan cohomology ring of weighted projective space

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