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

Feehan, 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 -