On Thom polynomials of the singularities Dk and Ek
نویسندگان
چکیده
منابع مشابه
Thom Polynomials of Morin Singularities
We begin with a quick summary of the notions of global singularity theory and the theory of Thom polynomials. For a more detailed review we refer the reader to [1, 15]. Let N and K be two complex manifolds of dimensions n and k respectively; assume that n ≤ k. Consider a holomorphic map f : N → K for which the differential d fp : TpN → TpK at a generic point p ∈ N is nonsingular, i.e. has rank ...
متن کاملOn the Structure of Thom Polynomials of Singularities
Thom polynomials of singularities express the cohomology classes dual to singularity submanifolds. A stabilization property of Thom polynomials is known classically, namely that trivial unfolding does not change the Thom polynomial. In this paper we show that this is a special case of a product rule. The product rule enables us to calculate the Thom polynomials of singularities if we know the T...
متن کاملThom 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.
متن کاملThom Polynomials and Schur Functions: the Singularities a 3 (−) to the Memory of Stanis Law Balcerzyk
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.
متن کامل9 M ay 2 00 7 Thom polynomials and Schur functions : the singularities I 2 , 2 ( − )
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1996
ISSN: 0025-5645
DOI: 10.2969/jmsj/04830593