Introduction
First series of questions
Second series of questions
The notion of elementary particle vacuum functional
Identification of elementary particles
Elementary fermions and bosons
Graviton and other stringy states
Spectrum of nonstringy states
Basic facts
about Riemann surfaces
Mapping
class group
Teichmueller
parameters
Hyperellipticity
Theta
functions
Elementary
particle vacuum functionals
Extended
Diff invariance and Lorentz invariance
Conformal
invariance
Diff
invariance
Cluster
decomposition property
Finiteness
requirement
Stability
against the decay g >
g_{1}+g_{2}
Stability
against the decay g > g1
Continuation
of the vacuum functionals to higher genus
topologies
Explanations for the absence of the g>2 elementary particles
from spectrum
Hyperellipticity implies the separation of g≤ 2 and g>2 sectors to separate worlds
What about g> 2 vacuum functionals which do not vanish for hyperelliptic surfaces?
Should higher elementary particle families be heavy?

Could higher genera have interpretation as manyparticle states?
Elementary particle vacuum functionals for dark matter
Hurwitz zetas cannot correspond to dark matter in TGD sense
ζ_{H}(s,1/2)$ inspires an explanation for why the number of fermion generations is three
About Hurwitz zetas
