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math-ph2001
A Note on the Real Fermionic and Bosonic quadratic forms: Their Diagonalization and Topological Interpreation
Sergey P. Novikov
We explain in this note how real fermionic and bosonic quadratic forms can be effectively diagonalized. Nothing like that exists for the general complex hermitian forms. Looks like…
math-ph2000
1.Classical and Modern Topology. 2.Topological Phenomena in Real World Physics
Sergey P. Novikov
Hystory of topology is discussed uncluding the Golden Age Period (1950-1970), the Period of Decay (1970-1980) and the Period of Recovery in 80s and 90s based on the ideas borrowed…
math-ph2000
Trivalent Graphs and Solitons
I. Krichever, S Novikov
It is shown that the fourth order real self-adjoint difference operator on the Tivalent Tree admits nontrivial deformations preserving one energy level and therefore defines a nont…