FINITE ORDER q-INVARIANTS OF IMMERSIONS OF SURFACES INTO 3-SPACE
نویسندگان
چکیده
Given a surface F , we are interested in Z/2 valued invariants of immersions of F intoR3, which are constant on each connected component of the complement of the quadruple point discriminant in Imm(F,R3). Such invariants will be called “q-invariants.” Given a regular homotopy class A ⊆ Imm(F,R3), we denote by Vn(A) the space of all q-invariants on A of order ≤ n. We show that if F is orientable, then for each regular homotopy class A and each n, dim( Vn(A)/Vn−1(A) ) ≤ 1.
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