An invariant of smooth 4-manifolds
Laurence R. Taylor
Abstract
We define a diffeomorphism invariant of smooth 4-manifolds which we can estimate for many smoothings of R4 and other smooth 4-manifolds. Using this invariant we can show that uncountably many smoothings of R4 support no Stein structure. (Gompf has constructed uncountably many smoothings of R4 which do support Stein structures.) Other applications of this invariant are given.
Create a lesson
Related papers
Combinatorial Goussarov-Polyak-Viro Formulas for the Linking Number and Low Degree Coefficients of the Conway Polynomial
Nancy Scherich, Nathaniel Song
The flip symmetry on Khovanov-Rozansky homology
Hongjian Yang
Families of knots that cannot be made Legendrian parametrically
Javier Martínez-Aguinaga
Branched real projective structures on surfaces and geometrisation of representations
Gianluca Faraco, Nicholas Rungi
Generating the twist subgroup of the level 2 mapping class group of a non-orientable closed surface
Ryoma Kobayashi
H-cobordisms, infinite cyclic covers, and real Seiberg--Witten theory
Sungkyung Kang, JungHwan Park, Masaki Taniguchi