Singular foliations for M-theory compactification

[1]  E. Babalic,et al.  Foliated eight-manifolds for M-theory compactification , 2014, Journal of High Energy Physics.

[2]  M. Zambon,et al.  Spin(7)-manifolds in compactifications to four dimensions , 2014, 1405.3698.

[3]  V. Vinson.  G Structures , 2014, Science Signaling.

[4]  D. Tsimpis,et al.  Type IIA supergravity and M -theory on manifolds with SU(4) structure , 2013, 1312.1692.

[5]  Thomas W. Grimm,et al.  Non-supersymmetric F-theory compactifications on Spin(7) manifolds , 2013, 1307.5858.

[6]  Irina Gelbukh.  The number of minimal components and homologically independent compact leaves of a weakly generic Morse form on a closed surface , 2013 .

[7]  Irina Gelbukh.  Close cohomologous Morse forms with compact leaves , 2013 .

[8]  E. Babalic,et al.  The geometric algebra of Fierz identities in arbitrary dimensions and signatures , 2013, 1304.4403.

[9]  Irina Gelbukh.  The number of split points of a Morse form and the structure of its foliation , 2013 .

[10]  E. Babalic,et al.  Geometric algebra techniques in flux compactifications (II) , 2012, 1212.6918.

[11]  Mihai Damian,et al.  Morse Theory and Floer Homology , 2013 .

[12]  M. Zambon,et al.  Holonomy transformations for singular foliations , 2012, 1205.6008.

[13]  Irina Gelbukh.  ON COLLINEAR CLOSED ONE-FORMS , 2011, Bulletin of the Australian Mathematical Society.

[14]  Irina Gelbukh.  Ranks of collinear Morse forms , 2011 .

[15]  Irina Gelbukh.  On compact leaves of a Morse form foliation , 2011 .

[16]  Ken Richardson,et al.  Smooth distributions are finitely generated , 2010, 1012.5641.

[17]  S. Vandoren,et al.  New potentials from Scherk-Schwarz reductions , 2010, 1008.4286.

[18]  Irina Gelbukh.  Number of minimal components and homologically independent compact leaves for a morse form foliation , 2009 .

[19]  Irina Gelbukh.  On the structure of a Morse form foliation , 2009 .

[20]  Spiro Karigiannis.  Desingularization of G2 manifolds with isolated conical singularities , 2008, 0807.3346.

[21]  Spiro Karigiannis.  Flows of G_2-structures, I , 2007, math/0702077.

[22]  L. Nicolaescu.  An Invitation to Morse Theory , 2007 .

[23]  Iakovos Androulidakis,et al.  The holonomy groupoid of a singular foliation , 2006, math/0612370.

[24]  D. Tsimpis.  M-theory on eight-manifolds revisited: Script N = 1 supersymmetry and generalized Spin(7) structures , 2005, hep-th/0511047.

[25]  D. Constantin.  Flux compactification of M‐theory on compact manifolds with Spin(7) holonomy , 2005, hep-th/0507104.

[26]  Irina Gelbukh.  Presence of minimal components in a Morse form foliation , 2005 .

[27]  Frederik Witt,et al.  Special metric structures and closed forms , 2005, math/0502443.

[28]  A. D. Lewis,et al.  Geometric Control of Mechanical Systems , 2004, IEEE Transactions on Automatic Control.

[29]  F. Witt.  Generalised G2–Manifolds , 2004, math/0411642.

[30]  Jr.,et al.  M-theory on Spin(7) manifolds, fluxes and 3D, N=1 supergravity , 2003, hep-th/0312040.

[31]  Michael Farber,et al.  Topology of closed one-forms , 2004 .

[32]  D. Alekseevsky,et al.  Polyvector Super-Poincaré Algebras , 2003, hep-th/0311107.

[33]  J. Sparks,et al.  G structures, fluxes and calibrations in M theory , 2003, hep-th/0306225.

[34]  R. Minasian,et al.  Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures , 2003, hep-th/0303127.

[35]  S. Ivanov.  Connections with torsion, parallel spinors and geometry of Spin(7) manifolds , 2001, math/0111216.

[36]  K. Becker.  A Note on compactifications on spin(7) - holonomy manifolds , 2000, hep-th/0011114.

[37]  Dominic Joyce,et al.  Compact Manifolds with Special Holonomy , 2000 .

[38]  K. Honda.  A NOTE ON MORSE THEORY OF HARMONIC 1-FORMS , 1999 .

[39]  J. Levine,et al.  Morse theory of harmonic forms , 1997, dg-ga/9711007.

[40]  F. Martín-Cabrera.  Orientable Hypersurfaces of Riemannian Manifolds with Spin(7)-Structure , 1997 .

[41]  Andrew Lesniewski,et al.  Noncommutative Geometry , 1997 .

[42]  K. Becker,et al.  M theory on eight manifolds , 1996, hep-th/9605053.

[43]  D. Alekseevsky,et al.  Classification of N-(Super)-Extended Poincaré Algebras and Bilinear Invariants of the Spinor Representation of Spin (p,q) , 1995, math/9511215.

[44]  Y. Kordyukov.  Adiabatic limits and spectral geometry of foliations , 1995, dg-ga/9506005.

[45]  I A Mel'nikova.  A test for non-compactness of the foliation of a Morse form , 1995 .

[46]  J. Marsden,et al.  Introduction to mechanics and symmetry , 1994 .

[47]  I. A. Mel'nikova.  An indicator of the noncompactness of a foliation on Mg2 , 1993 .

[48]  Michèle Vergne,et al.  Heat Kernels and Dirac Operators: Grundlehren 298 , 1992 .

[49]  Gilbert Levitt.  Groupe fondamental de l'espace des feuilles dans les feuilletages sans holonomie , 1990 .

[50]  J. Szenthe,et al.  Topics in Differential Geometry , 1988 .

[51]  Gilbert Levitt.  1-formes fermées singulières et groupe fondamental , 1987 .

[52]  M. Fernández.  A classification of Riemannian manifolds with structure group Spin (7) , 1986 .

[53]  P. Arnoux,et al.  Sur l'unique ergodicité des 1-formes fermées singulières , 1986 .

[54]  M. Freeman.  Fully integrable Pfaffian systems , 1984 .

[55]  K. Tod.  All metrics admitting super-covariantly constant spinors , 1983 .

[56]  A. Connes.  A survey of foliations and operator algebras , 1982 .

[57]  Hideki Imanishi,et al.  On codimension one foliations defined by closed one forms with singularities , 1979 .

[58]  Hideki Imanishi,et al.  Structure of codimension 1 foliations without holonomy on manifolds with abelian fundamental group , 1979 .

[59]  M. Spivak.  A comprehensive introduction to differential geometry , 1979 .

[60]  P. Stefan.  Accessible Sets, Orbits, and Foliations with Singularities , 1974 .

[61]  H. Sussmann.  Orbits of families of vector fields and integrability of distributions , 1973 .

[62]  A. Haefliger.  Homotopy and integrability , 1971 .

[63]  D. Tischler.  On fibering certain foliated manifolds overS1 , 1970 .

[64]  Alfred Gray,et al.  Vector cross products on manifolds , 1969 .

[65]  S. Chern.  The geometry of $G$-structures , 1966 .

[66]  J. Milnor.  Lectures on the h-cobordism theorem , 1965 .