BMT Invariants of Surfaces and 4-Manifolds

Details BMT Invariants of Surfaces and 4-Manifolds BMT Invariants of Surfaces and 4-Manifolds

2001-05-21

arxiv.org/abs/math/0105169v1

Mathematics

Algebraic Geometry

11 pages, 1 figure

Scientific paper

In this paper we present the Braid Monodromy Type (BMT) of curves and surfaces; past, present and future. The BMT is an invariant that can distinguish between non-isotopic curves; between different families of surfaces of general type; between connected components of moduli space of surfaces and between non symplectmorphic 4-manifolds. BMT is a finer invariant than the Sieberg-Witten invariants. Consider 2 simply connected surfaces of general type with the same Chern classes. It is known that if they are in the same deformation class, they are diffeomorphic to each other. Are there computable invariants distinguishing between these 2 classes? The new invariant, proposed here, is located between the 2 classes. In this paper we shall introduce the new invariant, state the current results and pose an open question.

Affiliated with

Also associated with

No associations

Rating

BMT Invariants of Surfaces and 4-Manifolds 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 BMT Invariants of Surfaces and 4-Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and BMT Invariants of Surfaces and 4-Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-564197