# Witten's Conjecture for many four-manifolds of simple type

Paul M. N. Feehan; Thomas G. Leness

Journal of the European Mathematical Society (2015)

- Volume: 017, Issue: 4, page 899-923
- ISSN: 1435-9855

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topFeehan, Paul M. N., and Leness, Thomas G.. "Witten's Conjecture for many four-manifolds of simple type." Journal of the European Mathematical Society 017.4 (2015): 899-923. <http://eudml.org/doc/277638>.

@article{Feehan2015,

abstract = {We prove that Witten’s Conjecture [40] on the relationship between the Donaldson and Seiberg-Witten series for a four-manifold of Seiberg-Witten simple type with $b_1=0$ and odd $b_2^+\ge 3$ follows from our $(3)$-monopole cobordism formula [6] when the four-manifold has $c_1^2\ge \chi _h-3$ or is abundant.},

author = {Feehan, Paul M. N., Leness, Thomas G.},

journal = {Journal of the European Mathematical Society},

keywords = {cobordisms; Donaldson invariants; Seiberg-Witten invariants; smooth four-dimensional manifolds; $(3)$ monopoles; Yang-Mills gauge theory; Donaldson invariants; Seiberg-Witten invariants; smooth four-dimensional manifolds; monopoles},

language = {eng},

number = {4},

pages = {899-923},

publisher = {European Mathematical Society Publishing House},

title = {Witten's Conjecture for many four-manifolds of simple type},

url = {http://eudml.org/doc/277638},

volume = {017},

year = {2015},

}

TY - JOUR

AU - Feehan, Paul M. N.

AU - Leness, Thomas G.

TI - Witten's Conjecture for many four-manifolds of simple type

JO - Journal of the European Mathematical Society

PY - 2015

PB - European Mathematical Society Publishing House

VL - 017

IS - 4

SP - 899

EP - 923

AB - We prove that Witten’s Conjecture [40] on the relationship between the Donaldson and Seiberg-Witten series for a four-manifold of Seiberg-Witten simple type with $b_1=0$ and odd $b_2^+\ge 3$ follows from our $(3)$-monopole cobordism formula [6] when the four-manifold has $c_1^2\ge \chi _h-3$ or is abundant.

LA - eng

KW - cobordisms; Donaldson invariants; Seiberg-Witten invariants; smooth four-dimensional manifolds; $(3)$ monopoles; Yang-Mills gauge theory; Donaldson invariants; Seiberg-Witten invariants; smooth four-dimensional manifolds; monopoles

UR - http://eudml.org/doc/277638

ER -

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