Finite order q-invariants of immersions of surfaces into 3-space
نویسندگان
چکیده
منابع مشابه
FINITE ORDER q-INVARIANTS OF IMMERSIONS OF SURFACES INTO 3-SPACE
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...
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Finite order invariants of stable immersions of a closed orientable surface into R have been defined in [N], where all order 1 invariants have been classified. In the present work we classify all finite order invariants of order n > 1, and show that they are all functions of the universal order 1 invariant constructed in [N]. The structure of the paper is as follows: In Section 2 we summarize t...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2001
ISSN: 0025-5874
DOI: 10.1007/pl00004829