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Hi, it is a "well-known" result that the only 2d-sphere that allows
a complex structure is S^2 ; it is open whether S^6 admits a complex
structure, though it does admit an almost-complex structure. I know there
are proofs that require knowledge of characteristics classes; does anyone know
of proofs that do not require characteristic classes, or where knowledge of char. classes
is not absolutely necessary for understanding the proof?
Thanks.
a complex structure is S^2 ; it is open whether S^6 admits a complex
structure, though it does admit an almost-complex structure. I know there
are proofs that require knowledge of characteristics classes; does anyone know
of proofs that do not require characteristic classes, or where knowledge of char. classes
is not absolutely necessary for understanding the proof?
Thanks.