Semantic Scholar
Open Access
2015
D-branes and synthetic/$C^{\infty}$-algebraic symplectic/calibrated geometry, I: Lemma on a finite algebraicness property of smooth maps from Azumaya/matrix manifolds
Chien‐Hao Liu
S. Yau
Abstrak
We lay down an elementary yet fundamental lemma concerning a finite algebraicness property of a smooth map from an Azumaya/matrix manifold with a fundamental module to a smooth manifold. This gives us a starting point to build a synthetic (synonymously, $C^{\infty}$-algebraic) symplectic geometry and calibrated geometry that are both tailored to and guided by D-brane phenomena in string theory and along the line of our previous works D(11.1) (arXiv:1406.0929 [math.DG]) and D(11.2) (arXiv:1412.0771 [hep-th]).
Topik & Kata Kunci
Penulis (2)
C
Chien‐Hao Liu
S
S. Yau
Format Sitasi
Liu, C., Yau, S. (2015). D-branes and synthetic/$C^{\infty}$-algebraic symplectic/calibrated geometry, I: Lemma on a finite algebraicness property of smooth maps from Azumaya/matrix manifolds. https://www.semanticscholar.org/paper/64dab2cc4fe5c176725ac8b6f6074cd5d0686458
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