Thom Polynomials and Schur Functions: The Singularities A3(−)
نویسندگان
چکیده
منابع مشابه
Thom polynomials and Schur functions : the singularities A 3 ( − )
Combining the “method of restriction equations” of Rimányi et al. with the techniques of symmetric functions, we establish the Schur function expansions of the Thom polynomials for the Morin singularities A3 : (C •, 0) → (C, 0) for any nonnegative integer k.
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We give the Thom polynomials for the singularities I2,2, and A3 associated with maps (C•, 0) → (C, 0) with parameter k ≥ 0. We give the Schur function expansions of these Thom polynomials. Moreover, for the singularities Ai (with any parameter k ≥ 0) we analyze the “first approximation” F (i) to the Thom polynomial. Our computations combine the characterization of Thom polynomials via the “meth...
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Combining the “method of restriction equations” of Rimányi et al. with the techniques of symmetric functions, we establish the Schur function expansions of the Thom polynomials for the Morin singularities A3 : (C •, 0) → (C, 0) for any nonnegative integer k.
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The global behavior of singularities is governed by their Thom polynomials (cf. [35], [14], [1], [11], [31]). Knowing the Thom polynomial of a singularity η, denoted T η, one can compute the cohomology class represented by the η-points of a map. We do not attempt here to survey all activities related to computations of Thom polynomials, which are difficult tasks in general. In the present paper...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2010
ISSN: 0034-5318
DOI: 10.2977/prims/5