ON AN ANALYTIC PROOF OF A RESULT BY DONALDSON

We give an analytic proof of a result by Donaldson which asserts that there is a one to one correspondence between the moduli space of framed instantons on S4 and the moduli space of holomorphic bundles over CP2 trivialized along a line.

Two-dimensional topological gravity and intersection theory on the moduli space of holomorphic bundles

Physics Letters B ◽

10.1016/0370-2693(91)91616-4 ◽

1991 ◽

Vol 260 (3-4) ◽

pp. 303-310 ◽

Author(s):

T.P. Killingback

Keyword(s):

Moduli Space ◽

Intersection Theory ◽

Two Dimensional ◽

Topological Gravity ◽

MODULI OF STABLE PAIRS FOR HOLOMORPHIC BUNDLES OVER RIEMANN SURFACES

International Journal of Mathematics ◽

10.1142/s0129167x91000272 ◽

1991 ◽

Vol 02 (05) ◽

pp. 477-513 ◽

Cited By ~ 30

Author(s):

STEVEN B. BRADLOW ◽

GEORGIOS D. DASKALOPOULOS

Keyword(s):

Moduli Space ◽

Riemann Surfaces ◽

Holomorphic Section ◽

Stable Bundles ◽

Space Problem ◽

Yang Mills ◽

Closed Riemann Surface ◽

Holomorphic Bundles ◽

Stable Pairs ◽

Compact Kähler Manifold

It this paper we study the space of gauge equivalence classes of pairs [Formula: see text] where [Formula: see text] represents a holomorphic structure on a complex bundle, E, over a closed Riemann Surface, and ϕ is a holomorphic section. We define a space of stable pairs and consider the moduli space problem for this space. The space of stable pairs, [Formula: see text], is related to the space of solution to the Vortex (Hermitian-Yang-Mills-Higgs) equation. Using the parameter, τ, which appears in this equation we can define subspaces [Formula: see text] within [Formula: see text]. We show that under suitable restrictions on τ and the degree of E, the space [Formula: see text] is naturally a finite dimensional, Hausdorff, compact Kähler manifold. We show further that there is a natural holomorphic map from this space onto the Seshadri compactification of the moduli space of stable bundles and that this map is generically a fibration.

Holomorphic bundles and the moduli space of N=1 supersymmetric heterotic compactifications

Journal of High Energy Physics ◽

10.1007/jhep10(2014)123 ◽

2014 ◽

Vol 2014 (10) ◽

Cited By ~ 35

Author(s):

Xenia de la Ossa ◽

Eirik E. Svanes

Keyword(s):

Moduli Space ◽

Universal Families of Rational Tropical Curves

Canadian Journal of Mathematics ◽

10.4153/cjm-2011-097-0 ◽

2013 ◽

Vol 65 (1) ◽

pp. 120-148 ◽

Author(s):

Georges Francois ◽

Simon Hampe

Keyword(s):

Moduli Space ◽

Equivalence Classes ◽

Tropical Curves ◽

One To One ◽

Tropical Varieties

AbstractWe introduce the notion of families of n-marked, smooth, rational tropical curves over smooth tropical varieties and establish a one-to-one correspondence between (equivalence classes of) these families and morphisms from smooth tropical varieties into the moduli space of n-marked, abstract, rational, tropical curves Mn.

CURIOSITIES AT c-EFFECTIVE = 1

Modern Physics Letters A ◽

10.1142/s0217732394000897 ◽

1994 ◽

Vol 09 (12) ◽

pp. 1071-1082 ◽

Author(s):

MICHAEL A. I. FLOHR

Keyword(s):

Moduli Space ◽

Modular Group ◽

Central Charge ◽

Field Theories ◽

Parameter Plane ◽

Quantum Field Theories ◽

Quantum Field ◽

One To One

The moduli space of all rational conformal quantum field theories with effective central charge c eff = 1 is considered. Whereas the space pf unitary theories essentially forms a manifold, the nonunitary ones form a fractal which lies dense in the parameter plane. Moreover, the points of this set are shown to be in one-to-one correspondence with the elements of the modular group for which an action on this set is defined.

Double Coset Construction of Moduli Space of Holomorphic Bundles and Hitchin Systems

Communications in Mathematical Physics ◽

10.1007/s002200050173 ◽

1997 ◽

Vol 188 (2) ◽

pp. 449-466 ◽

Cited By ~ 12

Author(s):

A. Levin ◽

M. Olshanetsky

Keyword(s):

Moduli Space ◽

Double Coset ◽

Hitchin Systems ◽

Coset Construction ◽

MODULI OF STABLE PAIRS FOR HOLOMORPHIC BUNDLES OVER RIEMANN SURFACES II

International Journal of Mathematics ◽

10.1142/s0129167x93000418 ◽

1993 ◽

Vol 04 (06) ◽

pp. 903-925 ◽

Cited By ~ 13

Author(s):

STEVEN BRADLOW ◽

GEORGIOS D. DASKALOPOULOS

Keyword(s):

Moduli Space ◽

Riemann Surfaces ◽

Projective Variety ◽

Algebraic Varieties ◽

Stable Bundles ◽

Topological Information ◽

Holomorphic Bundles ◽

Stable Pairs

In this paper we continue our investigation of the moduli space of stable pairs introduced in Part I. We obtain certain topological information, and we give a proof that this moduli space admits the structure of a nonsingular projective variety. We show that the natural map from the moduli space of stable pairs onto the Seshadri compactification of stable bundles is a morphism of algebraic varieties.

A Support Program

Language Speech and Hearing Services in Schools ◽

10.1044/0161-1461.2502.112 ◽

1994 ◽

Vol 25 (2) ◽

pp. 112-114 ◽

Author(s):

Henna Grunblatt ◽

Lisa Daar

Keyword(s):

Hearing Aids ◽

School Counselor ◽

Support Program ◽

Educational Audiology ◽

Part Program ◽

One To One

A program for providing information to children who are deaf about their deafness and addressing common concerns about deafness is detailed. Developed by a school audiologist and the school counselor, this two-part program is geared for children from 3 years to 15 years of age. The first part is an educational audiology program consisting of varied informational classes conducted by the audiologist. Five topics are addressed in this part of the program, including basic audiology, hearing aids, FM systems, audiograms, and student concerns. The second part of the program consists of individualized counseling. This involves both one-to-one counseling sessions between a student and the school counselor, as well as conjoint sessions conducted—with the student’s permission—by both the audiologist and the school counselor.