On the structure of Thom polynomials of singularities

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dc.creatorFeher, L. M.
dc.creatorRimanyi, R.
dc.date2007-08-22
dc.date.accessioned2026-07-07T08:25:00Z
dc.date.available2026-07-07T08:25:00Z
dc.descriptionThom 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 Thom polynomial of the product singularity. As a special case of the product rule we define a formal power series (Thom series, Ts_Q) associated with a commutative, complex, finite dimensional local algebra Q, such that the Thom polynomial of {\em every} singularity with local algebra Q can be recovered from Ts_Q.
dc.identifierhttps://arxiv.org/abs/0708.3068
dc.identifierhttp://arxiv.org/abs/0708.3068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136533
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject32S20
dc.titleOn the structure of Thom polynomials of singularities
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