A reducibility problem for the classical residue formula

A residue formula which evaluates any correlation function of topological SUn Yang–Mills theory with arbitrary magnetic flux insertion in two-dimensions are obtained. Deformations of the system by two-form operators are investigated in some detail. The method of the diagonalization of a matrix-valued field turns out to be useful to compute various physical quantities. As an application we find the operator that contracts a handle of a Riemann surface and a genus recursion relation.

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A residue formula for the index of a holomorphic flow

Mathematische Annalen ◽

10.1007/bf01446310 ◽

1996 ◽

Vol 304 (1) ◽

pp. 621-634 ◽

Cited By ~ 11

Author(s):

Jos� A. Seade ◽

Tatsuo Suwa

Keyword(s):

Residue Formula ◽

Holomorphic Flow

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On holomorphy of functions representable by the logarithmic residue formula

Siberian Mathematical Journal ◽

10.1007/bf02674628 ◽

1997 ◽

Vol 38 (2) ◽

pp. 302-311 ◽

Cited By ~ 1

Author(s):

A. M. Kytmanov ◽

S. G. Myslivets

Keyword(s):

Residue Formula ◽

Logarithmic Residue

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Thom Polynomials and the Green–Griffiths–Lang Conjecture for Hypersurfaces with Polynomial Degree

International Mathematics Research Notices ◽

10.1093/imrn/rnx332 ◽

2017 ◽

Vol 2019 (22) ◽

pp. 7037-7092

Author(s):

Gergely Bérczi

Keyword(s):

Algebraic Variety ◽

General Type ◽

Algebraic Model ◽

Holomorphic Curves ◽

Complex Manifolds ◽

Projective Hypersurface ◽

Polynomial Degree ◽

Residue Formula ◽

Thom Polynomials ◽

Complex Projective

Abstract Green and Griffiths [25] and Lang [29] conjectured that for every complex projective algebraic variety X of general type there exists a proper algebraic subvariety of X containing all nonconstant entire holomorphic curves $f:{\mathbb{C}} \to X$. We construct a compactification of the invariant jet differentials bundle over complex manifolds motivated by an algebraic model of Morin singularities and we develop an iterated residue formula using equivariant localisation for tautological integrals over it. Using this we show that the polynomial Green–Griffiths–Lang conjecture for a generic projective hypersurface of degree $\deg (X)>2n^{9}$ follows from a positivity conjecture for Thom polynomials of Morin singularities.

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Structure of two sulphated oligosaccharides from respiratory mucins of a patient suffering from cystic fibrosis. A fast-atom-bombardment m.s. and 1H-n.m.r. spectroscopic study

Biochemical Journal ◽

10.1042/bj2750199 ◽

1991 ◽

Vol 275 (1) ◽

pp. 199-206 ◽

Cited By ~ 37

Author(s):

G Lamblin ◽

H Rahmoune ◽

J M Wieruszeski ◽

M Lhermitte ◽

G Strecker ◽

...

Keyword(s):

Cystic Fibrosis ◽

Fast Atom Bombardment ◽

Gel Filtration ◽

Ion Exchange Chromatography ◽

Exchange Chromatography ◽

Residue Formula ◽

Terminal Galactose ◽

Galactose Residue ◽

Respiratory Mucin

Human respiratory-mucin glycopeptides were isolated from the sputum of a patient suffering from cystic fibrosis. They were subjected to treatment with alkaline borohydride. Application of ion-exchange chromatography afforded carbohydrate fractions containing sulphate. One of these fractions containing a mixture of sulphated oligosaccharides was subsequently submitted to gel-filtration chromatography and h.p.l.c. Two sulphated oligosaccharide-alditols, A and B, were prepared; their structure was determined by means of 400 MHz 1H-n.m.r. spectroscopy and fast-atom-bombardment m.s. They had a core type 2 and the sulphate was 3-linked to a terminal galactose residue: (Formula; see text)

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