Fetching the paper…

Reading the bibliography…

The Pontrjagin Dual of 3-Dimensional Spin Bordism · Around

2016

The Pontrjagin Dual of 3-Dimensional Spin Bordism

Brumfiel, Greg, Morgan, John

Original
PDF
Post on X

Understand

For each space X we define an explicit group, G(X), functorially in X.

This group is constructed from the groups of cochains on X.
Furthermore, we construct an explicit functorial pairing with values in R/Z between the cochain representatives for elements of G(X) and maps of closed 3-dimensional spin manifolds to X.
This pairing induces a pairing between G(X) and the 3-dimensional spin bordism group of X and identifies each with the Pontrjagin dual of the other.

Built on

E.H. Brown, Generalizations of the Kervaire invariant, Ann. of Math. 95 (1972), 368-383
1972
Earlier work this paper cites.
L. Guillou and A. Marin, Une extension d’un theoreme de Rohlin sur la signature, A la Recherche de la Topologie Perdue, edited by Guillou and Marin, Birkhauser, Boston-Basel-Stuttgart, 1986, 97-118
1986
Earlier work this paper cites.

Similar

Y. Matsumoto, An elementary proof of Rochlin’s signature theorem and its extension by Guillou and Marin, A la Recherche de la Topologie Perdue, edited by Guillou and Marin, Birkhauser, Boston-Basel-Stuttgart, 1986, 119-139
1986
Cited alongside, same era.
R. C. Kirby and L. R. Taylor, P i n Pin structures on low-dimensional manifolds. Geometry of Low-dimensional Manifolds, 2, London Math. Soc. Lecture Note Ser., 151, Cambridge Univ. Press (1990) 177-242. MR 1171915(94b:57031)
1990
Cited alongside, same era.
D. Gaiotto and A. Kapustin, Spin TQFTs and fermonic phases of matter, arXiv.org > > cond-mat > > arXiv:1505.05856v2
Original
Cited in the paper.

Then

R. R. Bruner, J. P. C. Greenlees, The connective real K-theory of finite groups, Math. Surveys and Mono- graphs 169, 2010
2010
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…