Axiomatic TQFT, Axiomatic DQFT, and Exotic 4-Manifolds

Details Axiomatic TQFT, Axiomatic DQFT, and Exotic 4-Manifolds Axiomatic TQFT, Axiomatic DQFT, and Exotic 4-Manifolds

2011-06-12

arxiv.org/abs/1106.2358v2

Mathematics

Geometric Topology

19 pages

Scientific paper

In this article we prove that any unitary, axiomatic topological quantum field theory in four-dimensions can not detect changes in the smooth structure of M, a simply connected, closed (compact without boundary), oriented smooth manifold. However, as Donaldson-Witten theory (a topological quantum field theory but not an axiomatic one) is able to detect changes in the smooth structure of such an M, this seemingly leads to a contradiction. This seeming contradiction is resolved by introducing a new set of axioms for a "differential quantum field theory", which in truth only slightly modify the naturality and functoriality axioms of a topological quantum field theory, such that these new axioms allow for a theory to detect changes in smooth structure.

Affiliated with

Also associated with

No associations

Rating

Axiomatic TQFT, Axiomatic DQFT, and Exotic 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 Axiomatic TQFT, Axiomatic DQFT, and Exotic 4-Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Axiomatic TQFT, Axiomatic DQFT, and Exotic 4-Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-428852