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We require the following lemmawhich is a simple case of the Fredholm Alternative Theorem (see, for example, [22]) and leave thedetails for the reader:.

Consider a space XX, such as a compact space of JJ-holomorphic stable maps with closed domain, that is the zero set of a Fredholm operator.

I will survey various results on applications and extensions of Hofer-Wysocki-Zehnder's polyfold theory: - fiber products of polyfold Fredholm sections - equivariant transversality - existence and obstructions - equivariant fundamental class -

Therefore, our existence proof mainly relies on a simple fixed point iterationand standard Fredholm theory. ... ut. The Fredholm alternative in Proposition 3.3 then gives the main theorem of thepaper.

the Fredholm module canonically associated to the spectral triple to an ‘instanton’ projection e. ... With different representations a non-trivial Fredholm module was already constructed in [17].

We develop a continuous version of Kasteleyn theory to show that partition functions for bead configurations on T_n may be expressed in terms of Fredholm determinants of certain operators on

v) A is Fredholm on one of the spaces Y. (vi) A is Fredholm on all the spaces Y. ... 17] S. Roch: Band-dominated operators on pspaces: Fredholm indices and finitesections, Acta Sci.

a number of one-parameter models, we start with the following lemma, which results in thetheory of Fredholm-Volterra integral equations [see Mason and Handscomb(2002), Ch. ... H(u,v) =1. |u v|α(1 v2)(1α)/2.(4.9). It appears in the theory of

Meury 3. Fredholm alternative. To this end, most authors have studied the integral operators intrinsicallyon Γ. ... Fredholm alternative on either smooth or non-smooth domainsand prevents us from establishing existence and uniqueness of solutions and

STABILITY OF THE PERIODIC TODA LATTICE. UNDER SHORT RANGE PERTURBATIONS. SPYRIDON KAMVISSIS AND GERALD TESCHL. Abstract. We consider the stability of the periodic Toda lat-tice (and slightly more generally of the algebro-geometric finite-gap lattice)