global equivariant bordism homology theory

**cobordism theory** = manifolds and cobordisms + stable homotopy theory/higher category theory

**Concepts of cobordism theory**

**flavors of cobordism homology/cohomology theories and representing Thom spectra**

The generalization of equivariant bordism homology theory (hence of bordism homology theory) to global equivariant homotopy theory.

**flavors of bordism homology theories/cobordism cohomology theories, their representing Thom spectra and cobordism rings**:

bordism theory$\,M B$ (B-bordism):

relative bordism theories:

global equivariant bordism theory:

algebraic:

- Stefan Schwede, Section 6 of:
*Global homotopy theory*, New Mathematical Monographs 34, Cambridge University Press, 2018 (doi:10.1017/9781108349161, arXiv:1802.09382)

Survey:

- Stefan Schwede,
*Equivariant bordism from the global perspective*, 2015 (pdf, pdf)

Created on November 21, 2020 at 06:39:44. See the history of this page for a list of all contributions to it.