Reidemeister torsion

노트

위키데이터

• ID : Q31839400

말뭉치

1. This provides a direct proof of the relation between the Alexander polynomial and analytic and Reidemeister torsions.
2. Analytic torsion (or Ray–Singer torsion) is an invariant of Riemannian manifolds defined by Daniel B. Ray and Isadore M. Singer (1971, 1973a, 1973b) as an analytic analogue of Reidemeister torsion.
3. Reidemeister torsion is closely related to Whitehead torsion; see (Milnor 1966).
4. Reidemeister torsion was first used to combinatorially classify 3-dimensional lens spaces in (Reidemeister 1935) by Reidemeister, and in higher-dimensional spaces by Franz.
5. It proves that for such representations the notion of Reidemeister torsion is well-defined.
6. The author defines the higher Franz-Reidemeister torsion based on Volodin's K-theory and Borel's regulator map.
7. In algebraic topology, the Reidemeister torsion is a notion originally introduced as a topological invariant of 3-manifolds which has now been widely adapted to a variety of contexts.
8. At the time of its discovery, the Reidemeister torsion was the first 3-manifold invariant able to distinguish between manifolds which are homotopy equivalent but not homeomorphic.
9. Another common context for which to define Reidemeister torsion is in the case of CW-complexes.
10. In this context, the Reidemeister torsion is a well-defined element of .
11. N2 - The goal of this article is to prove the product formula for parametrized homotopy Reidemeister torsion.
12. AB - The goal of this article is to prove the product formula for parametrized homotopy Reidemeister torsion.
13. The Reidemeister torsion approach also provides a natural approach to proving and extending certain monotonicity results of Cochran and Harvey.
14. We conjecture a version of the Cheeger-Müller theorem, namely that the combinatorial Reidemeister torsion coincides with the analytic torsion defined by Mathai and Wu.

메타데이터

위키데이터

• ID : Q31839400

Spacy 패턴 목록

• [{'LOWER': 'reidemeister'}, {'LEMMA': 'torsion'}]