De Rham theory of exploded manifolds

Brett Parker

doi:10.2140/gt.2018.22.1

De Rham theory of exploded manifolds

Brett Parker^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

This paper extends de Rham theory of smooth manifolds to exploded manifolds. Included are versions of Stokes’ theorem, de Rham cohomology, Poincaré duality, and integration along the fiber. The resulting de Rham cohomology theory of exploded manifolds is used in a separate paper (arXiv:1102.0158) to define Gromov-Witten invariants of exploded manifolds.

Original language	English
Pages (from-to)	1-54
Number of pages	54
Journal	Geometry and Topology
Volume	22
Issue number	1
DOIs	https://doi.org/10.2140/gt.2018.22.1
Publication status	Published - 2018

Access to Document

10.2140/gt.2018.22.1

Cite this

@article{fd3d9de6e78a45dbaad4d50cce70b012,

title = "De Rham theory of exploded manifolds",

abstract = "This paper extends de Rham theory of smooth manifolds to exploded manifolds. Included are versions of Stokes{\textquoteright} theorem, de Rham cohomology, Poincar{\'e} duality, and integration along the fiber. The resulting de Rham cohomology theory of exploded manifolds is used in a separate paper (arXiv:1102.0158) to define Gromov-Witten invariants of exploded manifolds.",

keywords = "De Rham cohomology, Exploded manifolds",

author = "Brett Parker",

year = "2018",

doi = "10.2140/gt.2018.22.1",

language = "English",

volume = "22",

pages = "1--54",

journal = "Geometry and Topology",

issn = "1465-3060",

publisher = "University of Warwick",

number = "1",

}

TY - JOUR

T1 - De Rham theory of exploded manifolds

AU - Parker, Brett

PY - 2018

Y1 - 2018

N2 - This paper extends de Rham theory of smooth manifolds to exploded manifolds. Included are versions of Stokes’ theorem, de Rham cohomology, Poincaré duality, and integration along the fiber. The resulting de Rham cohomology theory of exploded manifolds is used in a separate paper (arXiv:1102.0158) to define Gromov-Witten invariants of exploded manifolds.

AB - This paper extends de Rham theory of smooth manifolds to exploded manifolds. Included are versions of Stokes’ theorem, de Rham cohomology, Poincaré duality, and integration along the fiber. The resulting de Rham cohomology theory of exploded manifolds is used in a separate paper (arXiv:1102.0158) to define Gromov-Witten invariants of exploded manifolds.

KW - De Rham cohomology

KW - Exploded manifolds

UR - http://www.scopus.com/inward/record.url?scp=85033577752&partnerID=8YFLogxK

U2 - 10.2140/gt.2018.22.1

DO - 10.2140/gt.2018.22.1

M3 - Article

SN - 1465-3060

VL - 22

SP - 1

EP - 54

JO - Geometry and Topology

JF - Geometry and Topology

IS - 1

ER -

De Rham theory of exploded manifolds

Abstract

Access to Document

Other files and links

Fingerprint

Cite this