N = 2 topological Yang-Mills theories and Donaldson's polynomials

Seungjoon Hyun; Jae Suk Park

doi:10.1016/0393-0440(95)00043-7

N = 2 topological Yang-Mills theories and Donaldson's polynomials

Seungjoon Hyun, Jae Suk Park

Department of Physics

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

6 Citations (Scopus)

Abstract

The N = 2 topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact Kähler surfaces with p_g ≥ 1 are re-examined. The N = 2 symmetry is clarified in terms of a Dolbeault model of the equivariant cohomology. We realize the non-algebraic part of Donaldson's polynomial invariants as well as the algebraic part. We calculate Donaldson's polynomials on H^2,0 (S, ℤ) ⊕ H^0,2 (S, ℤ).

Original language	English
Pages (from-to)	31-53
Number of pages	23
Journal	Journal of Geometry and Physics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1016/0393-0440(95)00043-7
Publication status	Published - 1996 Sept

All Science Journal Classification (ASJC) codes

Mathematical Physics
Physics and Astronomy(all)
Geometry and Topology

Access to Document

10.1016/0393-0440(95)00043-7

Cite this

@article{91f1e6f972764980b1870362085a43c7,

title = "N = 2 topological Yang-Mills theories and Donaldson's polynomials",

abstract = "The N = 2 topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact K{\"a}hler surfaces with pg ≥ 1 are re-examined. The N = 2 symmetry is clarified in terms of a Dolbeault model of the equivariant cohomology. We realize the non-algebraic part of Donaldson's polynomial invariants as well as the algebraic part. We calculate Donaldson's polynomials on H2,0 (S, ℤ) ⊕ H0,2 (S, ℤ).",

author = "Seungjoon Hyun and Park, {Jae Suk}",

year = "1996",

month = sep,

doi = "10.1016/0393-0440(95)00043-7",

language = "English",

volume = "20",

pages = "31--53",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - N = 2 topological Yang-Mills theories and Donaldson's polynomials

AU - Hyun, Seungjoon

AU - Park, Jae Suk

PY - 1996/9

Y1 - 1996/9

N2 - The N = 2 topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact Kähler surfaces with pg ≥ 1 are re-examined. The N = 2 symmetry is clarified in terms of a Dolbeault model of the equivariant cohomology. We realize the non-algebraic part of Donaldson's polynomial invariants as well as the algebraic part. We calculate Donaldson's polynomials on H2,0 (S, ℤ) ⊕ H0,2 (S, ℤ).

AB - The N = 2 topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact Kähler surfaces with pg ≥ 1 are re-examined. The N = 2 symmetry is clarified in terms of a Dolbeault model of the equivariant cohomology. We realize the non-algebraic part of Donaldson's polynomial invariants as well as the algebraic part. We calculate Donaldson's polynomials on H2,0 (S, ℤ) ⊕ H0,2 (S, ℤ).

UR - http://www.scopus.com/inward/record.url?scp=0030243495&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030243495&partnerID=8YFLogxK

U2 - 10.1016/0393-0440(95)00043-7

DO - 10.1016/0393-0440(95)00043-7

M3 - Article

AN - SCOPUS:0030243495

SN - 0393-0440

VL - 20

SP - 31

EP - 53

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 1

ER -

N = 2 topological Yang-Mills theories and Donaldson's polynomials

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this