Positivity of Legendrian Thom polynomials

Details Positivity of Legendrian Thom polynomials Positivity of Legendrian Thom polynomials

2010-05-07

arxiv.org/abs/1005.1283v3

Mathematics

Algebraic Geometry

23 pages

Scientific paper

We study Legendrian singularities arising in complex contact geometry. We define a one-parameter family of bases in the ring of Legendrian characteristic classes such that any Legendrian Thom polynomial has nonnegative coefficients when expanded in these bases. The method uses a suitable Lagrange Grassmann bundle on the product of projective spaces. This is an extension of a nonnegativity result for Lagrangian Thom polynomials obtained by the authors previously. For a fixed pecialization, other specializations of the parameter lead to upper bounds for the coefficients of the given basis. One gets also upper bounds of the coefficients from the positivity of classical Thom polynomials (for mappings), obtained previously by the last two authors.

Affiliated with

Also associated with

No associations

Rating

Positivity of Legendrian Thom polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Positivity of Legendrian Thom polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Positivity of Legendrian Thom polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-223458