Effective Action from M-Theory on Twisted Connected Sum G2-Manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-3045-0
Abstract: We study the four-dimensional low-energy effective $${\mathcal{N}=1}$$N=1 supergravity theory of the dimensional reduction of M-theory on G2-manifolds, which are constructed by Kovalev’s twisted connected sum gluing suitable pairs of asymptotically cylindrical Calabi–Yau threefolds XL/R augmented… read more here.
Keywords: action theory; theory; twisted connected; effective action ... See more keywords
Generalized connected sum formula for the Arnold invariants of generic plane curves
Sign Up to like & getrecommendations! Published in 2019 at "Topology and its Applications"
DOI: 10.1016/j.topol.2018.12.010
Abstract: Abstract We define the generalized connected sum for generic closed plane curves, generalizing the strange sum defined by Arnold, and completely describe how the Arnold invariants J ± and St behave under the generalized connected… read more here.
Keywords: generalized connected; sum formula; arnold invariants; plane curves ... See more keywords
The Morse–Novikov number of knots under connected sum and cabling
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Topology"
DOI: 10.1112/topo.12210
Abstract: We show the Morse-Novikov number of knots in $S^3$ is additive under connected sum and unchanged by cabling. read more here.
Keywords: number knots; morse novikov; novikov number; knots connected ... See more keywords
Gompf connected sum for orbifolds and K-contact Smale–Barden manifolds
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DOI: 10.1515/forum-2020-0131
Abstract: Abstract We develop the Gompf fiber connected sum operation for symplectic orbifolds. We use it to construct a symplectic 4-orbifold with b1=0{b_{1}=0} and containing symplectic surfaces of genus 1 and 2 that are disjoint and… read more here.
Keywords: sum orbifolds; smale barden; gompf connected; contact smale ... See more keywords